A fraction is any number that you can express in the form of p/q and whose q is never equal to zero.
Fractions and decimals are interchangeable with a simple formula or method of approach.
One just needs to divide the number with the same power of 10 as there are digits to the right side of the decimal in the same number.
For instance, for a number 5.675, we can see there are 3 digits after the decimal.
So, we will divide the fraction by 1000 or 10 to the power of 3, 5675/1000.
What Is 0.375 As A Fraction In Simplest Form?
Answer is 3/8.
The steps are as follow –
- Convert the decimal to a fraction which you can do by dividing the number by the same power of ten as are the digits after the decimal, which becomes as 375/1000.
- Now divide both by the highest number that is common to both, which is 125 here.
- The final answer becomes 3/8.
Basics of fractions with most common problems:
Fraction words come from the Latin word fractio.
The word means to split, and a fraction helps to convey the value of one thing (numerator) compared with other (denominator).
For instance, you drank 1 L of water when you had 10 L in total.
In a fraction, you drank 1/10th of the water, and 9/10 is still left.
- Convert 36/48 to simple fraction – To do this, simply divide the numerator and denominator by the largest common number.
- Which is 12 for above, and the fraction becomes ¾.
- Ex -2. What is 0.0625 in simplest form, 625/10000 becomes 1/16.
- Turn 0.025 as a fraction; it becomes 25/1000 and becomes 1/40.
Fractions and their types:
Fractions can be divided into four types are Unit Fraction, Proper, Improper, and Mix fraction.
- Unit Fractions – Any fraction which has its numerator one is a unit fraction. Ex – ½, 1/4, etc.
- Proper – Numerators are less than denominators in these fractions. Ex – 2/3, 4/67.
- Improper – Value output of Numerator is more or equal to the denominator value. Ex – 5/5, 10/4.
- Mixed – A whole number is present right before the proper fraction.
Ex – 2 ¾.
PS – Fractions were first found in Egyptian civilization and then had some instances of their presence in Indian civilization as well.
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Decimals and fractions:
One can express the percentages, whole numbers, and fractions together as a decimal.
The word deci means 10 and helps to denote the power of 10 to any number.
The symbol of decimal is a point “.”
For instance, a boy buys a pack of gums for 2 dollars and 50 cents, and you can express it as $2.50.
- One can define decimals as those numbers which lie between the integers when we put them on a number line.
- They also represent fractions, like ¼ becomes 0.25.
- Similarly, they provide precision to mathematical values.
- There are four kinds of decimals which are Terminating, Non-Terminating, and further as Repeating and Non-repeating/ recurring.
- For a fraction, 2/10 indicates the decimal 0.2, and 4/100 means 0.04.
PS – There are ways to round off the decimals as well to their nearest number, like 0.04567 becomes 0.46.
Some other questions,
Related Questions and Frequently Asked Questions (FAQ):
Q1.) What is 0.375 when one displays it in the whole number?
Answer: 375.
To do this, simply move the point of decimal to its right until it takes the place of a whole number.
For instance, 0.375 has 3 digits after the numerator, and so we move three places to the right to make it a whole number.
Q2.) What is 0.875 in its simplest form?
Answer: 7/8.
One can calculate it easily as a fraction, and this will give you the answer 7/8.
The method here to find this is by converting the 0.875 into a fraction.
To do this, divide the whole number by the power of ten which should be equal to the digits to the right of the number.
It becomes 875/1000 and then simplified, so it becomes 7/8 by 125 factor.
Q3.) What is the answer to 0.375 in percent value?
Answer: 0.00375%.
To do this, understanding the basic concept of % is important.
She was expressing anything in the shares of hundred in percentage.
For instance, if there were a total of 10 Apples and I have 5 of them with me, then as a percentage, I can say that I have 50% of all the apples with me.
5/10 x 100.
Q4.) Is 0.375 a rational number also?
Answer: Yes!
Any integer that can be presented in the form p/q is a rational number. For instance, 0.375 becomes 375/1000 as a fraction.
Q5.) What is the proper way to simplify a fraction?
Answer: While there are many ways to achieve this, one easy way to do this is by dividing the numerator and denominator by a common number.
Ex 1- 6/12 becomes ½ because you can divide both six and twelve by their common highest factor, which is six.
Q6.) How can you write 2.25 as a fraction?
Answer: 9/4, and it is an improper fraction.
It is easy to convert decimals into a fraction by dividing the numerator number by a power of 10 as per the digits available after the number.
For instance, 2.25 has two digits after the decimal, so we will put 100 in the denominator, 225/100 and simplify it.
Q7.) What is 0.5625 as a fraction?
Answer: 9/16.
- First, determine the digits in the number after the decimal point, which is 4 in this instance.
- Then, ignore the decimal and re-write the same number in the power of ten and where the power is equal to digits after the decimal.
- For instance, here, it is 0.5625, which becomes 5625/ 10000.
- Lastly, make the fraction its simplistic form.
Q8.) Does 0.375 seem like a repeating or a terminating rational number?
Answer: Terminating.
There are two types of rational numbers, and both can be expressed as p/q.
All we must do is divide the numerator by the lower part of the fraction, and if it leaves no remainder, we call the number a terminating rational number.
Q9.) Is 0.5 terminating or repeating a rational number?
Answer: Terminating!
Using the same principle in the above solution, we can see that the numerator leaves no remainder on being divided by the denominator.
0.5 is 5/10 in fraction form, which you can derive by dividing the whole number with the same power of 10 as are the digits to its right side.
On simplifying it further, it leads to 1/2 and proper fraction and leaves no remainder after we divide 1 with 2.
Hence, it is a terminating type.
Q10.) What is 17/5 as percentage and decimal?
Answer: 3.4 and 340%.
Other examples, 16/5 becomes 3.2 and 320%.
17/2 becomes 5.66667 or 566.667%.
Q11.) How to determine a non-terminating decimal?
Answer: We know that we get some remainder whenever we express a fraction in its decimal form.
However, if this does not happen, that is, we do not get the remainder as zero, and calculation keeps on happening, such decimal is nonterminating like pi.
Q12.) What kind of fraction can be expressed in the form of a terminating decimal?
Answer: We know that a terminating decimal must end with no remainder remaining when we divide its numerator with that of the denominator.’
For instance, ¼ can also be expressed as 0.25, now try to find the same of 1/3, and it will keep on giving 0.3333, a recurring decimal.
Q13.) What is 12.5 as a fraction?
Answer: 125/10; reduce it to become 25/2.
We divided the numerator and denominator by 10.
Q14.) What is 0.85 as a fraction?
Answer: 17/20.
Follow the same steps as above where it becomes 85/100 and divide both by 5 to reach 17/20.
85/100 is the fraction, and the common factor is 5, 85/5, and 100/5 becomes 17/20.
Q15.) What is 0.125 as a fraction?
Answer: 1/8.
Here the 0.125 becomes 125/1000 because there are three digits to the right of the decimal.
Now, the common factor is 125, so divide both up and down, and the answer comes to 1/8.
Q16.) What is 37.5% as a fraction?
Answer: 3/8.
To do this, simply change the percent by bringing a 100 at the bottom.
37.5/100.
Now convert decimal by bringing its power to 100, 375/1000.
Divide numerator and denominator both with 125, and you get 375/125 = 3 and 1000/125 = 8, 3/8.
Final Summary
The term fraction originates from a Latin word, “Fractio.”
Here, this term means to split or to break. One of the earliest civilizations studying the Fractions was the Egyptians.
Then it reached the Romans, and in India, they had a more intricate fraction system.
Fractions help to show a numerical portion or value as the value of its whole part.
For instance, the pizza we eat comes with eight sides, and you eat 3 out of them.
Here, you have eaten 3/8th part of the pizza, and this is the real meaning of fraction.
A fraction can be broken down into others by using simple mathematical ways and has two parts numerator and denominator.
For similar reasons, 6/12 becomes ½ as the final fraction.
Lastly, remember that for a fraction of p/q, the q should never be zero.
Thanks For Reading!