2/3 - 15/16 as a fraction

Learn how to find what is 2/3 minus 15/16 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 15/16 as a fraction and decimal.

Summary: 2/3 minus 15/16 = -13/48
Since both fractions have unequal denominators, 2/3 minus 15/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 15/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 16. 48 is the LCM of 3 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (2/3 x 48/48) - (15/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 32/48 and for 15/16 is 45/48. By simplifying this fraction subtraction 32/48 - 45/48, it becomes -13/48.

CALCULATION: 2/3 - 15/16 as a fraction
2/3 - 15/16 = (?)
2/3 - 15/16 = [(2 x 16) - (15 x 3)]/(3 x 16)
= (32 - 45)/48
= -13/48
2/3 - 15/16 = -13/48
2/3 minus 15/16 as a fraction is -13/48.

where
2/3 is a proper fraction as a minuend,
15/16 is a proper fraction as a subtrahend,
-13/48 is the difference between 2/3 and 15/16.

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2/3 minus 15/16 as a decimal
2/3 - 15/16 = -13/48
-13/48 = -0.2708
(2/3) - (15/16) as a decimal is -0.2708

where
-0.2708 is the difference between 2/3 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 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 15/16.
1. LCM method
2. Cross multiplication method.

(2/3) - (15/16) using LCM Method:
What is 2/3 minus 15/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 15/16

What to be found?
(2/3) - (15/16) = ?
Find what's the difference between 2/3 and 15/16.

step 2 Compare the denominators of fractions 2/3 and 15/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 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 2/3 and 15/16:
The LCM of 3 and 16 is 48.

step 4 Write the fractions 2/3 and 15/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 - 15/16
= [(2 x 48)/(3 x 48)] - [(15 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 32/48 - 45/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (32/1 - 45/1)
= 1/48 x (32 - 45)

step 7Simplify the above expression further:
= 1/48 x -13
= -13/48
2/3 - 15/16 = -13/48

Hence,
2/3 minus 15/16 as a fraction is -13/48.

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2/3 - 15/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 15/16

What to be found?
(2/3)-(15/16) = ?
Find what's the difference between 2/3 and 15/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 16), find the product of numerator of Fraction B and denominator of Fraction A (15 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 16) and rewrite the equation as like the below:
= (2 x 16) - (15 x 3)/(3 x 16)

step 3 Simplify and rewrite the fraction:
= (32 - 45)/48
2/3 - 15/16 = -13/48

Hence,
2/3 minus 15/16 in fraction is -13/48