4/7 - 5/2 as a fraction

Learn how to find what is 4/7 minus 5/2 in fraction form just in a few minutes. We have covered the easiest method to write 4/7 - 5/2 as a fraction and decimal.

Summary: 4/7 minus 5/2 = -27/14
Since both fractions have unequal denominators, 4/7 minus 5/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/7 and fraction 5/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 2. 14 is the LCM of 7 and 2. Multiplying the LCM 14 with the numerators and denominators of both fractions (4/7 x 14/14) - (5/2 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 4/7 is 8/14 and for 5/2 is 35/14. By simplifying this fraction subtraction 8/14 - 35/14, it becomes -27/14.

CALCULATION: 4/7 - 5/2 as a fraction
4/7 - 5/2 = (?)
4/7 - 5/2 = [(4 x 2) - (5 x 7)]/(7 x 2)
= (8 - 35)/14
= -27/14
4/7 - 5/2 = -27/14
4/7 minus 5/2 as a fraction is -27/14.

where
4/7 is a proper fraction as a minuend,
5/2 is a improper fraction as a subtrahend,
-27/14 is the difference between 4/7 and 5/2.

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4/7 minus 5/2 as a decimal
4/7 - 5/2 = -27/14
-27/14 = -1.9286
(4/7) - (5/2) as a decimal is -1.9286

where
-1.9286 is the difference between 4/7 and 5/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/2 from 4/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/7 minus 5/2.
1. LCM method
2. Cross multiplication method.

(4/7) - (5/2) using LCM Method:
What is 4/7 minus 5/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 5/2

What to be found?
(4/7) - (5/2) = ?
Find what's the difference between 4/7 and 5/2.

step 2 Compare the denominators of fractions 4/7 and 5/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/7 and 5/2 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 4/7 and 5/2:
The LCM of 7 and 2 is 14.

step 4 Write the fractions 4/7 and 5/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/7 - 5/2
= [(4 x 14)/(7 x 14)] - [(5 x 14)/(2 x 14)]

step 5 Simplify the expression to have common denominator:
= 8/14 - 35/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (8/1 - 35/1)
= 1/14 x (8 - 35)

step 7Simplify the above expression further:
= 1/14 x -27
= -27/14
4/7 - 5/2 = -27/14

Hence,
4/7 minus 5/2 as a fraction is -27/14.

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4/7 - 5/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 5/2

What to be found?
(4/7)-(5/2) = ?
Find what's the difference between 4/7 and 5/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 2), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 2) and rewrite the equation as like the below:
= (4 x 2) - (5 x 7)/(7 x 2)

step 3 Simplify and rewrite the fraction:
= (8 - 35)/14
4/7 - 5/2 = -27/14

Hence,
4/7 minus 5/2 in fraction is -27/14