10/7 - 8/15 as a fraction

Learn how to find what is 10/7 minus 8/15 in fraction form just in a few minutes. We have covered the easiest method to write 10/7 - 8/15 as a fraction and decimal.

Summary: 10/7 minus 8/15 = 94/105
Since both fractions have unequal denominators, 10/7 minus 8/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/7 and fraction 8/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 15. 105 is the LCM of 7 and 15. Multiplying the LCM 105 with the numerators and denominators of both fractions (10/7 x 105/105) - (8/15 x 105/105), and simplify further in order to have the common denominator. So the equivalent fraction for 10/7 is 150/105 and for 8/15 is 56/105. By simplifying this fraction subtraction 150/105 - 56/105, it becomes 94/105.

Pie Chart Representation: 10/7 - 8/15 = 94/105

CALCULATION: 10/7 - 8/15 as a fraction
10/7 - 8/15 = (?)
10/7 - 8/15 = [(10 x 15) - (8 x 7)]/(7 x 15)
= (150 - 56)/105
= 94/105
10/7 - 8/15 = 94/105
10/7 minus 8/15 as a fraction is 94/105.

where
10/7 is a improper fraction as a minuend,
8/15 is a proper fraction as a subtrahend,
94/105 is the difference between 10/7 and 8/15.

---

10/7 minus 8/15 as a decimal
10/7 - 8/15 = 94/105
94/105 = 0.8952
(10/7) - (8/15) as a decimal is 0.8952

where
0.8952 is the difference between 10/7 and 8/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/15 from 10/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/7 minus 8/15.
1. LCM method
2. Cross multiplication method.

(10/7) - (8/15) using LCM Method:
What is 10/7 minus 8/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 8/15

What to be found?
(10/7) - (8/15) = ?
Find what's the difference between 10/7 and 8/15.

step 2 Compare the denominators of fractions 10/7 and 8/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/7 and 8/15 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 10/7 and 8/15:
The LCM of 7 and 15 is 105.

step 4 Write the fractions 10/7 and 8/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/7 - 8/15
= [(10 x 105)/(7 x 105)] - [(8 x 105)/(15 x 105)]

step 5 Simplify the expression to have common denominator:
= 150/105 - 56/105

step 6 Take the common values out and rewrite the above expression like the below:
= 1/105 x (150/1 - 56/1)
= 1/105 x (150 - 56)

step 7Simplify the above expression further:
= 1/105 x 94
= 94/105
10/7 - 8/15 = 94/105

Hence,
10/7 minus 8/15 as a fraction is 94/105.

---

10/7 - 8/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/7
Fraction B: 8/15

What to be found?
(10/7)-(8/15) = ?
Find what's the difference between 10/7 and 8/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 15), find the product of numerator of Fraction B and denominator of Fraction A (8 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 15) and rewrite the equation as like the below:
= (10 x 15) - (8 x 7)/(7 x 15)

step 3 Simplify and rewrite the fraction:
= (150 - 56)/105
10/7 - 8/15 = 94/105

Hence,
10/7 minus 8/15 in fraction is 94/105