15/4 - 2/7 as a fraction

Learn how to find what is 15/4 minus 2/7 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 - 2/7 as a fraction and decimal.

Summary: 15/4 minus 2/7 = 97/28
Since both fractions have unequal denominators, 15/4 minus 2/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 2/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 7. 28 is the LCM of 4 and 7. Multiplying the LCM 28 with the numerators and denominators of both fractions (15/4 x 28/28) - (2/7 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 105/28 and for 2/7 is 8/28. By simplifying this fraction subtraction 105/28 - 8/28, it becomes 97/28.

CALCULATION: 15/4 - 2/7 as a fraction
15/4 - 2/7 = (?)
15/4 - 2/7 = [(15 x 7) - (2 x 4)]/(4 x 7)
= (105 - 8)/28
= 97/28
15/4 - 2/7 = 97/28
15/4 minus 2/7 as a fraction is 97/28.

where
15/4 is a improper fraction as a minuend,
2/7 is a proper fraction as a subtrahend,
97/28 is the difference between 15/4 and 2/7.

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15/4 minus 2/7 as a decimal
15/4 - 2/7 = 97/28
97/28 = 3.4643
(15/4) - (2/7) as a decimal is 3.4643

where
3.4643 is the difference between 15/4 and 2/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/7 from 15/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 15/4 minus 2/7.
1. LCM method
2. Cross multiplication method.

(15/4) - (2/7) using LCM Method:
What is 15/4 minus 2/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 2/7

What to be found?
(15/4) - (2/7) = ?
Find what's the difference between 15/4 and 2/7.

step 2 Compare the denominators of fractions 15/4 and 2/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/4 and 2/7 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 15/4 and 2/7:
The LCM of 4 and 7 is 28.

step 4 Write the fractions 15/4 and 2/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/4 - 2/7
= [(15 x 28)/(4 x 28)] - [(2 x 28)/(7 x 28)]

step 5 Simplify the expression to have common denominator:
= 105/28 - 8/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (105/1 - 8/1)
= 1/28 x (105 - 8)

step 7Simplify the above expression further:
= 1/28 x 97
= 97/28
15/4 - 2/7 = 97/28

Hence,
15/4 minus 2/7 as a fraction is 97/28.

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15/4 - 2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 2/7

What to be found?
(15/4)-(2/7) = ?
Find what's the difference between 15/4 and 2/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 7) and rewrite the equation as like the below:
= (15 x 7) - (2 x 4)/(4 x 7)

step 3 Simplify and rewrite the fraction:
= (105 - 8)/28
15/4 - 2/7 = 97/28

Hence,
15/4 minus 2/7 in fraction is 97/28