What is 9/4 minus 8/14 in fraction?
9/4 minus 8/14 equals to 47/28 in fraction form.
Learn how to find what is 9/4 minus 8/14 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 - 8/14 as a fraction and decimal.
Summary: 9/4 minus 8/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/4 and 8/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 28 is the LCM of 4 and 14. Multiply the LCM 28 with all the numerators and denominators of both fractions (9/4 x 28/28) - (8/14 x 28/28) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 47/28.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/14 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 8/14.
1. LCM method
2. Cross multiplication method.
9/4-8/14 using LCM Method:
What is 9/4 minus 8/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 8/14
What to be found?
9/4-8/14 = ?
Find what's the difference between 9/4 and 8/14.
step 2 Compare the denominators of fractions 9/4 and 8/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/4 and 8/14 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 8/14:
The LCM of 4 and 14 is 28.
step 4 Write the fractions 9/4 and 8/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/4-8/14
=(9 x 28)/(4 x 28)-(8 x 28)/(14 x 28)
step 5 Simplify the expression to have common denominator:
=63/28-16/28
step 6 Take the common values out and rewrite the above expression like the below:
=1/28 x (63/1-16/1)
=1/28 x (63 - 16)
step 7Simplify the above expression further:
=1/28 x 47
=47/28
9/4-8/14=47/28
Hence,
9/4 minus 8/14 equals to 47/28 in fraction.
9/4-8/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 8/14
What to be found?
9/4-8/14 = ?
Find what's the difference between 9/4 and 8/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 14), 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 14) and rewrite the equation as like the below:
= (9 x 14) - (8 x 4)/(4 x 14)
step 3 Simplify and rewrite the fraction:
= (126 - 32)/56
= 94/56
= 47/28
9/4-8/14 = 47/28
Hence,
9/4 minus 8/14 = 47/28