3/8 - 7/2 as a fraction

Learn how to find what is 3/8 minus 7/2 in fraction form just in a few minutes. We have covered the easiest method to write 3/8 - 7/2 as a fraction and decimal.

Summary: 3/8 minus 7/2 = -25/8
Since both fractions have unequal denominators, 3/8 minus 7/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/8 and fraction 7/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 2. 8 is the LCM of 8 and 2. Multiplying the LCM 8 with the numerators and denominators of both fractions (3/8 x 8/8) - (7/2 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 3/8 is 3/8 and for 7/2 is 28/8. By simplifying this fraction subtraction 3/8 - 28/8, it becomes -25/8.

CALCULATION: 3/8 - 7/2 as a fraction
3/8 - 7/2 = (?)
3/8 - 7/2 = [(3 x 2) - (7 x 8)]/(8 x 2)
= (6 - 56)/16
= -50/16
= (2 x -25)/(2 x 8)
= -25/8
3/8 - 7/2 = -25/8
3/8 minus 7/2 as a fraction is -25/8.

where
3/8 is a proper fraction as a minuend,
7/2 is a improper fraction as a subtrahend,
-25/8 is the difference between 3/8 and 7/2.

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3/8 minus 7/2 as a decimal
3/8 - 7/2 = -25/8
-25/8 = -3.125
(3/8) - (7/2) as a decimal is -3.125

where
-3.125 is the difference between 3/8 and 7/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/2 from 3/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/8 minus 7/2.
1. LCM method
2. Cross multiplication method.

(3/8) - (7/2) using LCM Method:
What is 3/8 minus 7/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 7/2

What to be found?
(3/8) - (7/2) = ?
Find what's the difference between 3/8 and 7/2.

step 2 Compare the denominators of fractions 3/8 and 7/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/8 and 7/2 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 3/8 and 7/2:
The LCM of 8 and 2 is 8.

step 4 Write the fractions 3/8 and 7/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/8 - 7/2
= [(3 x 8)/(8 x 8)] - [(7 x 8)/(2 x 8)]

step 5 Simplify the expression to have common denominator:
= 3/8 - 28/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (3/1 - 28/1)
= 1/8 x (3 - 28)

step 7Simplify the above expression further:
= 1/8 x -25
= -25/8
3/8 - 7/2 = -25/8

Hence,
3/8 minus 7/2 as a fraction is -25/8.

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3/8 - 7/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 7/2

What to be found?
(3/8)-(7/2) = ?
Find what's the difference between 3/8 and 7/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 2), find the product of numerator of Fraction B and denominator of Fraction A (7 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 2) and rewrite the equation as like the below:
= (3 x 2) - (7 x 8)/(8 x 2)

step 3 Simplify and rewrite the fraction:
= (6 - 56)/16
= -50/16
= -25/8
3/8 - 7/2 = -25/8

Hence,
3/8 minus 7/2 in fraction is -25/8