7/2 - 5/16 as a fraction

Learn how to find what is 7/2 minus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 - 5/16 as a fraction and decimal.

Summary: 7/2 minus 5/16 = 51/16
Since both fractions have unequal denominators, 7/2 minus 5/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 5/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 16. 16 is the LCM of 2 and 16. Multiplying the LCM 16 with the numerators and denominators of both fractions (7/2 x 16/16) - (5/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 56/16 and for 5/16 is 5/16. By simplifying this fraction subtraction 56/16 - 5/16, it becomes 51/16.

CALCULATION: 7/2 - 5/16 as a fraction
7/2 - 5/16 = (?)
7/2 - 5/16 = [(7 x 16) - (5 x 2)]/(2 x 16)
= (112 - 10)/32
= 102/32
= (2 x 51)/(2 x 16)
= 51/16
7/2 - 5/16 = 51/16
7/2 minus 5/16 as a fraction is 51/16.

where
7/2 is a improper fraction as a minuend,
5/16 is a proper fraction as a subtrahend,
51/16 is the difference between 7/2 and 5/16.

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7/2 minus 5/16 as a decimal
7/2 - 5/16 = 51/16
51/16 = 3.1875
(7/2) - (5/16) as a decimal is 3.1875

where
3.1875 is the difference between 7/2 and 5/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/16 from 7/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/2 minus 5/16.
1. LCM method
2. Cross multiplication method.

(7/2) - (5/16) using LCM Method:
What is 7/2 minus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 5/16

What to be found?
(7/2) - (5/16) = ?
Find what's the difference between 7/2 and 5/16.

step 2 Compare the denominators of fractions 7/2 and 5/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/2 and 5/16 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 7/2 and 5/16:
The LCM of 2 and 16 is 16.

step 4 Write the fractions 7/2 and 5/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 - 5/16
= [(7 x 16)/(2 x 16)] - [(5 x 16)/(16 x 16)]

step 5 Simplify the expression to have common denominator:
= 56/16 - 5/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (56/1 - 5/1)
= 1/16 x (56 - 5)

step 7Simplify the above expression further:
= 1/16 x 51
= 51/16
7/2 - 5/16 = 51/16

Hence,
7/2 minus 5/16 as a fraction is 51/16.

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7/2 - 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 5/16

What to be found?
(7/2)-(5/16) = ?
Find what's the difference between 7/2 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 16) and rewrite the equation as like the below:
= (7 x 16) - (5 x 2)/(2 x 16)

step 3 Simplify and rewrite the fraction:
= (112 - 10)/32
= 102/32
= 51/16
7/2 - 5/16 = 51/16

Hence,
7/2 minus 5/16 in fraction is 51/16