What is 9/4 minus 8/13 in fraction?
9/4 minus 8/13 equals to 85/52 in fraction form.
Learn how to find what is 9/4 minus 8/13 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 - 8/13 as a fraction and decimal.
Summary: 9/4 minus 8/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/4 and 8/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 52 is the LCM of 4 and 13. Multiply the LCM 52 with all the numerators and denominators of both fractions (9/4 x 52/52) - (8/13 x 52/52) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 85/52.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/13 from 9/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/4 minus 8/13.
1. LCM method
2. Cross multiplication method.
9/4-8/13 using LCM Method:
What is 9/4 minus 8/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 8/13
What to be found?
9/4-8/13 = ?
Find what's the difference between 9/4 and 8/13.
step 2 Compare the denominators of fractions 9/4 and 8/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/4 and 8/13 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 9/4 and 8/13:
The LCM of 4 and 13 is 52.
step 4 Write the fractions 9/4 and 8/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/4-8/13
=(9 x 52)/(4 x 52)-(8 x 52)/(13 x 52)
step 5 Simplify the expression to have common denominator:
=117/52-32/52
step 6 Take the common values out and rewrite the above expression like the below:
=1/52 x (117/1-32/1)
=1/52 x (117 - 32)
step 7Simplify the above expression further:
=1/52 x 85
=85/52
9/4-8/13=85/52
Hence,
9/4 minus 8/13 equals to 85/52 in fraction.
9/4-8/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 8/13
What to be found?
9/4-8/13 = ?
Find what's the difference between 9/4 and 8/13.
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 (8 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 13) and rewrite the equation as like the below:
= (9 x 13) - (8 x 4)/(4 x 13)
step 3 Simplify and rewrite the fraction:
= (117 - 32)/52
9/4-8/13 = 85/52
Hence,
9/4 minus 8/13 = 85/52