10/9 - 5/7 as a fraction

Learn how to find what is 10/9 minus 5/7 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 - 5/7 as a fraction and decimal.

Summary: 10/9 minus 5/7 = 25/63
Since both fractions have unequal denominators, 10/9 minus 5/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 5/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 7. 63 is the LCM of 9 and 7. Multiplying the LCM 63 with the numerators and denominators of both fractions (10/9 x 63/63) - (5/7 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 70/63 and for 5/7 is 45/63. By simplifying this fraction subtraction 70/63 - 45/63, it becomes 25/63.

Pie Chart Representation: 10/9 - 5/7 = 25/63

CALCULATION: 10/9 - 5/7 as a fraction
10/9 - 5/7 = (?)
10/9 - 5/7 = [(10 x 7) - (5 x 9)]/(9 x 7)
= (70 - 45)/63
= 25/63
10/9 - 5/7 = 25/63
10/9 minus 5/7 as a fraction is 25/63.

where
10/9 is a improper fraction as a minuend,
5/7 is a proper fraction as a subtrahend,
25/63 is the difference between 10/9 and 5/7.

---

10/9 minus 5/7 as a decimal
10/9 - 5/7 = 25/63
25/63 = 0.3968
(10/9) - (5/7) as a decimal is 0.3968

where
0.3968 is the difference between 10/9 and 5/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/7 from 10/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/9 minus 5/7.
1. LCM method
2. Cross multiplication method.

(10/9) - (5/7) using LCM Method:
What is 10/9 minus 5/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 5/7

What to be found?
(10/9) - (5/7) = ?
Find what's the difference between 10/9 and 5/7.

step 2 Compare the denominators of fractions 10/9 and 5/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/9 and 5/7 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 10/9 and 5/7:
The LCM of 9 and 7 is 63.

step 4 Write the fractions 10/9 and 5/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 - 5/7
= [(10 x 63)/(9 x 63)] - [(5 x 63)/(7 x 63)]

step 5 Simplify the expression to have common denominator:
= 70/63 - 45/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (70/1 - 45/1)
= 1/63 x (70 - 45)

step 7Simplify the above expression further:
= 1/63 x 25
= 25/63
10/9 - 5/7 = 25/63

Hence,
10/9 minus 5/7 as a fraction is 25/63.

---

10/9 - 5/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 5/7

What to be found?
(10/9)-(5/7) = ?
Find what's the difference between 10/9 and 5/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 7), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 7) and rewrite the equation as like the below:
= (10 x 7) - (5 x 9)/(9 x 7)

step 3 Simplify and rewrite the fraction:
= (70 - 45)/63
10/9 - 5/7 = 25/63

Hence,
10/9 minus 5/7 in fraction is 25/63