9/4 - 7/16 as a fraction

Learn how to find what is 9/4 minus 7/16 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 - 7/16 as a fraction and decimal.

Summary: 9/4 minus 7/16 = 29/16
Since both fractions have unequal denominators, 9/4 minus 7/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/4 and fraction 7/16 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 (9/4 x 16/16) - (7/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 9/4 is 36/16 and for 7/16 is 7/16. By simplifying this fraction subtraction 36/16 - 7/16, it becomes 29/16.

CALCULATION: 9/4 - 7/16 as a fraction
9/4 - 7/16 = (?)
9/4 - 7/16 = [(9 x 16) - (7 x 4)]/(4 x 16)
= (144 - 28)/64
= 116/64
= (4 x 29)/(4 x 16)
= 29/16
9/4 - 7/16 = 29/16
9/4 minus 7/16 as a fraction is 29/16.

where
9/4 is a improper fraction as a minuend,
7/16 is a proper fraction as a subtrahend,
29/16 is the difference between 9/4 and 7/16.

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9/4 minus 7/16 as a decimal
9/4 - 7/16 = 29/16
29/16 = 1.8125
(9/4) - (7/16) as a decimal is 1.8125

where
1.8125 is the difference between 9/4 and 7/16.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/16 from 9/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/4 minus 7/16.
1. LCM method
2. Cross multiplication method.

(9/4) - (7/16) using LCM Method:
What is 9/4 minus 7/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 7/16

What to be found?
(9/4) - (7/16) = ?
Find what's the difference between 9/4 and 7/16.

step 2 Compare the denominators of fractions 9/4 and 7/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/4 and 7/16 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 9/4 and 7/16:
The LCM of 4 and 16 is 16.

step 4 Write the fractions 9/4 and 7/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/4 - 7/16
= [(9 x 16)/(4 x 16)] - [(7 x 16)/(16 x 16)]

step 5 Simplify the expression to have common denominator:
= 36/16 - 7/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (36/1 - 7/1)
= 1/16 x (36 - 7)

step 7Simplify the above expression further:
= 1/16 x 29
= 29/16
9/4 - 7/16 = 29/16

Hence,
9/4 minus 7/16 as a fraction is 29/16.

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9/4 - 7/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 7/16

What to be found?
(9/4)-(7/16) = ?
Find what's the difference between 9/4 and 7/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 16), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (9 x 16) - (7 x 4)/(4 x 16)

step 3 Simplify and rewrite the fraction:
= (144 - 28)/64
= 116/64
= 29/16
9/4 - 7/16 = 29/16

Hence,
9/4 minus 7/16 in fraction is 29/16