What is 9/4 minus 8/16 in fraction?
9/4 minus 8/16 equals to 7/4 in fraction form.
Learn how to find what is 9/4 minus 8/16 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 - 8/16 as a fraction and decimal.
Summary: 9/4 minus 8/16
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/4 and 8/16 having identical denominators before starting adding the fractions. Find the LCM of denominators, 16 is the LCM of 4 and 16. Multiply the LCM 16 with all the numerators and denominators of both fractions (9/4 x 16/16) - (8/16 x 16/16) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 28/16.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/16 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 8/16.
1. LCM method
2. Cross multiplication method.
9/4-8/16 using LCM Method:
What is 9/4 minus 8/16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 8/16
What to be found?
9/4-8/16 = ?
Find what's the difference between 9/4 and 8/16.
step 2 Compare the denominators of fractions 9/4 and 8/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/4 and 8/16 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 8/16:
The LCM of 4 and 16 is 16.
step 4 Write the fractions 9/4 and 8/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/4-8/16
=(9 x 16)/(4 x 16)-(8 x 16)/(16 x 16)
step 5 Simplify the expression to have common denominator:
=36/16-8/16
step 6 Take the common values out and rewrite the above expression like the below:
=1/16 x (36/1-8/1)
=1/16 x (36 - 8)
step 7Simplify the above expression further:
=1/16 x 28
= 28/16
=7/4
9/4-8/16=7/4
Hence,
9/4 minus 8/16 equals to 7/4 in fraction.
9/4-8/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 8/16
What to be found?
9/4-8/16 = ?
Find what's the difference between 9/4 and 8/16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 16), 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 16) and rewrite the equation as like the below:
= (9 x 16) - (8 x 4)/(4 x 16)
step 3 Simplify and rewrite the fraction:
= (144 - 32)/64
= 112/64
= 7/4
9/4-8/16 = 7/4
Hence,
9/4 minus 8/16 = 7/4