What is 5/6 minus 9/13 in fraction?
5/6 minus 9/13 equals to 11/78 in fraction form.
Learn how to find what is 5/6 minus 9/13 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 - 9/13 as a fraction and decimal.
Summary: 5/6 minus 9/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/6 and 9/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 78 is the LCM of 6 and 13. Multiply the LCM 78 with all the numerators and denominators of both fractions (5/6 x 78/78) - (9/13 x 78/78) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 11/78.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/13 from 5/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/6 minus 9/13.
1. LCM method
2. Cross multiplication method.
5/6-9/13 using LCM Method:
What is 5/6 minus 9/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 9/13
What to be found?
5/6-9/13 = ?
Find what's the difference between 5/6 and 9/13.
step 2 Compare the denominators of fractions 5/6 and 9/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/6 and 9/13 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 5/6 and 9/13:
The LCM of 6 and 13 is 78.
step 4 Write the fractions 5/6 and 9/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/6-9/13
=(5 x 78)/(6 x 78)-(9 x 78)/(13 x 78)
step 5 Simplify the expression to have common denominator:
=65/78-54/78
step 6 Take the common values out and rewrite the above expression like the below:
=1/78 x (65/1-54/1)
=1/78 x (65 - 54)
step 7Simplify the above expression further:
=1/78 x 11
=11/78
5/6-9/13=11/78
Hence,
5/6 minus 9/13 equals to 11/78 in fraction.
5/6-9/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 9/13
What to be found?
5/6-9/13 = ?
Find what's the difference between 5/6 and 9/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 13), find the product of numerator of Fraction B and denominator of Fraction A (9 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 13) and rewrite the equation as like the below:
= (5 x 13) - (9 x 6)/(6 x 13)
step 3 Simplify and rewrite the fraction:
= (65 - 54)/78
5/6-9/13 = 11/78
Hence,
5/6 minus 9/13 = 11/78