What is 9/10 minus 2/13 in fraction?
9/10 minus 2/13 equals to 97/130 in fraction form.
Learn how to find what is 9/10 minus 2/13 in fraction form just in a few minutes. We have covered the easiest method to write 9/10 - 2/13 as a fraction and decimal.
Summary: 9/10 minus 2/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/10 and 2/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 130 is the LCM of 10 and 13. Multiply the LCM 130 with all the numerators and denominators of both fractions (9/10 x 130/130) - (2/13 x 130/130) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 97/130.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/13 from 9/10. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/10 minus 2/13.
1. LCM method
2. Cross multiplication method.
9/10-2/13 using LCM Method:
What is 9/10 minus 2/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/10
Fraction B: 2/13
What to be found?
9/10-2/13 = ?
Find what's the difference between 9/10 and 2/13.
step 2 Compare the denominators of fractions 9/10 and 2/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/10 and 2/13 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 9/10 and 2/13:
The LCM of 10 and 13 is 130.
step 4 Write the fractions 9/10 and 2/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/10-2/13
=(9 x 130)/(10 x 130)-(2 x 130)/(13 x 130)
step 5 Simplify the expression to have common denominator:
=117/130-20/130
step 6 Take the common values out and rewrite the above expression like the below:
=1/130 x (117/1-20/1)
=1/130 x (117 - 20)
step 7Simplify the above expression further:
=1/130 x 97
=97/130
9/10-2/13=97/130
Hence,
9/10 minus 2/13 equals to 97/130 in fraction.
9/10-2/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/10
Fraction B: 2/13
What to be found?
9/10-2/13 = ?
Find what's the difference between 9/10 and 2/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 13), find the product of numerator of Fraction B and denominator of Fraction A (2 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 13) and rewrite the equation as like the below:
= (9 x 13) - (2 x 10)/(10 x 13)
step 3 Simplify and rewrite the fraction:
= (117 - 20)/130
9/10-2/13 = 97/130
Hence,
9/10 minus 2/13 = 97/130