15/4 - 5/16 as a fraction

Learn how to find what is 15/4 minus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 15/4 - 5/16 as a fraction and decimal.

Summary: 15/4 minus 5/16 = 55/16
Since both fractions have unequal denominators, 15/4 minus 5/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/4 and fraction 5/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 16. 16 is the LCM of 4 and 16. Multiplying the LCM 16 with the numerators and denominators of both fractions (15/4 x 16/16) - (5/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 15/4 is 60/16 and for 5/16 is 5/16. By simplifying this fraction subtraction 60/16 - 5/16, it becomes 55/16.

CALCULATION: 15/4 - 5/16 as a fraction
15/4 - 5/16 = (?)
15/4 - 5/16 = [(15 x 16) - (5 x 4)]/(4 x 16)
= (240 - 20)/64
= 220/64
= (4 x 55)/(4 x 16)
= 55/16
15/4 - 5/16 = 55/16
15/4 minus 5/16 as a fraction is 55/16.

where
15/4 is a improper fraction as a minuend,
5/16 is a proper fraction as a subtrahend,
55/16 is the difference between 15/4 and 5/16.

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15/4 minus 5/16 as a decimal
15/4 - 5/16 = 55/16
55/16 = 3.4375
(15/4) - (5/16) as a decimal is 3.4375

where
3.4375 is the difference between 15/4 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 15/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 15/4 minus 5/16.
1. LCM method
2. Cross multiplication method.

(15/4) - (5/16) using LCM Method:
What is 15/4 minus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 5/16

What to be found?
(15/4) - (5/16) = ?
Find what's the difference between 15/4 and 5/16.

step 2 Compare the denominators of fractions 15/4 and 5/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/4 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 15/4 and 5/16:
The LCM of 4 and 16 is 16.

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

step 5 Simplify the expression to have common denominator:
= 60/16 - 5/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (60/1 - 5/1)
= 1/16 x (60 - 5)

step 7Simplify the above expression further:
= 1/16 x 55
= 55/16
15/4 - 5/16 = 55/16

Hence,
15/4 minus 5/16 as a fraction is 55/16.

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15/4 - 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/4
Fraction B: 5/16

What to be found?
(15/4)-(5/16) = ?
Find what's the difference between 15/4 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 16) and rewrite the equation as like the below:
= (15 x 16) - (5 x 4)/(4 x 16)

step 3 Simplify and rewrite the fraction:
= (240 - 20)/64
= 220/64
= 55/16
15/4 - 5/16 = 55/16

Hence,
15/4 minus 5/16 in fraction is 55/16