16/15 - 2/7 as a fraction

Learn how to find what is 16/15 minus 2/7 in fraction form just in a few minutes. We have covered the easiest method to write 16/15 - 2/7 as a fraction and decimal.

Summary: 16/15 minus 2/7 = 82/105
Since both fractions have unequal denominators, 16/15 minus 2/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/15 and fraction 2/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 15 and 7. 105 is the LCM of 15 and 7. Multiplying the LCM 105 with the numerators and denominators of both fractions (16/15 x 105/105) - (2/7 x 105/105), and simplify further in order to have the common denominator. So the equivalent fraction for 16/15 is 112/105 and for 2/7 is 30/105. By simplifying this fraction subtraction 112/105 - 30/105, it becomes 82/105.

Pie Chart Representation: 16/15 - 2/7 = 82/105

CALCULATION: 16/15 - 2/7 as a fraction
16/15 - 2/7 = (?)
16/15 - 2/7 = [(16 x 7) - (2 x 15)]/(15 x 7)
= (112 - 30)/105
= 82/105
16/15 - 2/7 = 82/105
16/15 minus 2/7 as a fraction is 82/105.

where
16/15 is a improper fraction as a minuend,
2/7 is a proper fraction as a subtrahend,
82/105 is the difference between 16/15 and 2/7.

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16/15 minus 2/7 as a decimal
16/15 - 2/7 = 82/105
82/105 = 0.781
(16/15) - (2/7) as a decimal is 0.781

where
0.781 is the difference between 16/15 and 2/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/7 from 16/15. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/15 minus 2/7.
1. LCM method
2. Cross multiplication method.

(16/15) - (2/7) using LCM Method:
What is 16/15 minus 2/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/15
Fraction B: 2/7

What to be found?
(16/15) - (2/7) = ?
Find what's the difference between 16/15 and 2/7.

step 2 Compare the denominators of fractions 16/15 and 2/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/15 and 2/7 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 16/15 and 2/7:
The LCM of 15 and 7 is 105.

step 4 Write the fractions 16/15 and 2/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/15 - 2/7
= [(16 x 105)/(15 x 105)] - [(2 x 105)/(7 x 105)]

step 5 Simplify the expression to have common denominator:
= 112/105 - 30/105

step 6 Take the common values out and rewrite the above expression like the below:
= 1/105 x (112/1 - 30/1)
= 1/105 x (112 - 30)

step 7Simplify the above expression further:
= 1/105 x 82
= 82/105
16/15 - 2/7 = 82/105

Hence,
16/15 minus 2/7 as a fraction is 82/105.

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16/15 - 2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/15
Fraction B: 2/7

What to be found?
(16/15)-(2/7) = ?
Find what's the difference between 16/15 and 2/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 x 15), and find the product of both denominators of Fraction A and Fraction B (15 x 7) and rewrite the equation as like the below:
= (16 x 7) - (2 x 15)/(15 x 7)

step 3 Simplify and rewrite the fraction:
= (112 - 30)/105
16/15 - 2/7 = 82/105

Hence,
16/15 minus 2/7 in fraction is 82/105