5/2 - 15/16 as a fraction

Learn how to find what is 5/2 minus 15/16 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 - 15/16 as a fraction and decimal.

Summary: 5/2 minus 15/16 = 25/16
Since both fractions have unequal denominators, 5/2 minus 15/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 15/16 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 (5/2 x 16/16) - (15/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 40/16 and for 15/16 is 15/16. By simplifying this fraction subtraction 40/16 - 15/16, it becomes 25/16.

CALCULATION: 5/2 - 15/16 as a fraction
5/2 - 15/16 = (?)
5/2 - 15/16 = [(5 x 16) - (15 x 2)]/(2 x 16)
= (80 - 30)/32
= 50/32
= (2 x 25)/(2 x 16)
= 25/16
5/2 - 15/16 = 25/16
5/2 minus 15/16 as a fraction is 25/16.

where
5/2 is a improper fraction as a minuend,
15/16 is a proper fraction as a subtrahend,
25/16 is the difference between 5/2 and 15/16.

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5/2 minus 15/16 as a decimal
5/2 - 15/16 = 25/16
25/16 = 1.5625
(5/2) - (15/16) as a decimal is 1.5625

where
1.5625 is the difference between 5/2 and 15/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/16 from 5/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/2 minus 15/16.
1. LCM method
2. Cross multiplication method.

(5/2) - (15/16) using LCM Method:
What is 5/2 minus 15/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 15/16

What to be found?
(5/2) - (15/16) = ?
Find what's the difference between 5/2 and 15/16.

step 2 Compare the denominators of fractions 5/2 and 15/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/2 and 15/16 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 5/2 and 15/16:
The LCM of 2 and 16 is 16.

step 4 Write the fractions 5/2 and 15/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 - 15/16
= [(5 x 16)/(2 x 16)] - [(15 x 16)/(16 x 16)]

step 5 Simplify the expression to have common denominator:
= 40/16 - 15/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (40/1 - 15/1)
= 1/16 x (40 - 15)

step 7Simplify the above expression further:
= 1/16 x 25
= 25/16
5/2 - 15/16 = 25/16

Hence,
5/2 minus 15/16 as a fraction is 25/16.

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5/2 - 15/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 15/16

What to be found?
(5/2)-(15/16) = ?
Find what's the difference between 5/2 and 15/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 16), find the product of numerator of Fraction B and denominator of Fraction A (15 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:
= (5 x 16) - (15 x 2)/(2 x 16)

step 3 Simplify and rewrite the fraction:
= (80 - 30)/32
= 50/32
= 25/16
5/2 - 15/16 = 25/16

Hence,
5/2 minus 15/16 in fraction is 25/16