13/8 - 9/10 as a fraction

Learn how to find what is 13/8 minus 9/10 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 - 9/10 as a fraction and decimal.

Summary: 13/8 minus 9/10 = 29/40
Since both fractions have unequal denominators, 13/8 minus 9/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 9/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 10. 40 is the LCM of 8 and 10. Multiplying the LCM 40 with the numerators and denominators of both fractions (13/8 x 40/40) - (9/10 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 65/40 and for 9/10 is 36/40. By simplifying this fraction subtraction 65/40 - 36/40, it becomes 29/40.

Pie Chart Representation: 13/8 - 9/10 = 29/40

CALCULATION: 13/8 - 9/10 as a fraction
13/8 - 9/10 = (?)
13/8 - 9/10 = [(13 x 10) - (9 x 8)]/(8 x 10)
= (130 - 72)/80
= 58/80
= (2 x 29)/(2 x 40)
= 29/40
13/8 - 9/10 = 29/40
13/8 minus 9/10 as a fraction is 29/40.

where
13/8 is a improper fraction as a minuend,
9/10 is a proper fraction as a subtrahend,
29/40 is the difference between 13/8 and 9/10.

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13/8 minus 9/10 as a decimal
13/8 - 9/10 = 29/40
29/40 = 0.725
(13/8) - (9/10) as a decimal is 0.725

where
0.725 is the difference between 13/8 and 9/10.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/10 from 13/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/8 minus 9/10.
1. LCM method
2. Cross multiplication method.

(13/8) - (9/10) using LCM Method:
What is 13/8 minus 9/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 9/10

What to be found?
(13/8) - (9/10) = ?
Find what's the difference between 13/8 and 9/10.

step 2 Compare the denominators of fractions 13/8 and 9/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/8 and 9/10 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 13/8 and 9/10:
The LCM of 8 and 10 is 40.

step 4 Write the fractions 13/8 and 9/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 - 9/10
= [(13 x 40)/(8 x 40)] - [(9 x 40)/(10 x 40)]

step 5 Simplify the expression to have common denominator:
= 65/40 - 36/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (65/1 - 36/1)
= 1/40 x (65 - 36)

step 7Simplify the above expression further:
= 1/40 x 29
= 29/40
13/8 - 9/10 = 29/40

Hence,
13/8 minus 9/10 as a fraction is 29/40.

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13/8 - 9/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 9/10

What to be found?
(13/8)-(9/10) = ?
Find what's the difference between 13/8 and 9/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 10), find the product of numerator of Fraction B and denominator of Fraction A (9 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 10) and rewrite the equation as like the below:
= (13 x 10) - (9 x 8)/(8 x 10)

step 3 Simplify and rewrite the fraction:
= (130 - 72)/80
= 58/80
= 29/40
13/8 - 9/10 = 29/40

Hence,
13/8 minus 9/10 in fraction is 29/40