What is 7/4 minus 3/2 in fraction?
7/4 minus 3/2 equals to 1/4 in fraction form.
Learn how to find what is 7/4 minus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 7/4 - 3/2 as a fraction and decimal.
Summary: 7/4 minus 3/2
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/4 and 3/2 having identical denominators before starting adding the fractions. Find the LCM of denominators, 4 is the LCM of 4 and 2. Multiply the LCM 4 with all the numerators and denominators of both fractions (7/4 x 4/4) - (3/2 x 4/4) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 1/4.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/2 from 7/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/4 minus 3/2.
1. LCM method
2. Cross multiplication method.
7/4-3/2 using LCM Method:
What is 7/4 minus 3/2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 3/2
What to be found?
7/4-3/2 = ?
Find what's the difference between 7/4 and 3/2.
step 2 Compare the denominators of fractions 7/4 and 3/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/4 and 3/2 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 7/4 and 3/2:
The LCM of 4 and 2 is 4.
step 4 Write the fractions 7/4 and 3/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/4-3/2
=(7 x 4)/(4 x 4)-(3 x 4)/(2 x 4)
step 5 Simplify the expression to have common denominator:
=7/4-6/4
step 6 Take the common values out and rewrite the above expression like the below:
=1/4 x (7/1-6/1)
=1/4 x (7 - 6)
step 7Simplify the above expression further:
=1/4 x 1
=1/4
7/4-3/2=1/4
Hence,
7/4 minus 3/2 equals to 1/4 in fraction.
7/4-3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/4
Fraction B: 3/2
What to be found?
7/4-3/2 = ?
Find what's the difference between 7/4 and 3/2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 2), find the product of numerator of Fraction B and denominator of Fraction A (3 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 2) and rewrite the equation as like the below:
= (7 x 2) - (3 x 4)/(4 x 2)
step 3 Simplify and rewrite the fraction:
= (14 - 12)/8
= 2/8
= 1/4
7/4-3/2 = 1/4
Hence,
7/4 minus 3/2 = 1/4