What is 9/6 minus 13/4 in fraction?
9/6 minus 13/4 equals to -7/4 in fraction form.
Learn how to find what is 9/6 minus 13/4 in fraction form just in a few minutes. We have covered the easiest method to write 9/6 - 13/4 as a fraction and decimal.
Summary: 9/6 minus 13/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/6 and 13/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 12 is the LCM of 6 and 4. Multiply the LCM 12 with all the numerators and denominators of both fractions (9/6 x 12/12) - (13/4 x 12/12) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -21/12.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/4 from 9/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/6 minus 13/4.
1. LCM method
2. Cross multiplication method.
9/6-13/4 using LCM Method:
What is 9/6 minus 13/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/6
Fraction B: 13/4
What to be found?
9/6-13/4 = ?
Find what's the difference between 9/6 and 13/4.
step 2 Compare the denominators of fractions 9/6 and 13/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/6 and 13/4 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 9/6 and 13/4:
The LCM of 6 and 4 is 12.
step 4 Write the fractions 9/6 and 13/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/6-13/4
=(9 x 12)/(6 x 12)-(13 x 12)/(4 x 12)
step 5 Simplify the expression to have common denominator:
=18/12-39/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (18/1-39/1)
=1/12 x (18 - 39)
step 7Simplify the above expression further:
=1/12 x -21
= -21/12
=-7/4
9/6-13/4=-7/4
Hence,
9/6 minus 13/4 equals to -7/4 in fraction.
9/6-13/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/6
Fraction B: 13/4
What to be found?
9/6-13/4 = ?
Find what's the difference between 9/6 and 13/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 4), find the product of numerator of Fraction B and denominator of Fraction A (13 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 4) and rewrite the equation as like the below:
= (9 x 4) - (13 x 6)/(6 x 4)
step 3 Simplify and rewrite the fraction:
= (36 - 78)/24
= -42/24
= -7/4
9/6-13/4 = -7/4
Hence,
9/6 minus 13/4 = -7/4