What is 3/4 minus 4/10 in fraction?
3/4 minus 4/10 equals to 7/20 in fraction form.
Learn how to find what is 3/4 minus 4/10 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 - 4/10 as a fraction and decimal.
Summary: 3/4 minus 4/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/4 and 4/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 20 is the LCM of 4 and 10. Multiply the LCM 20 with all the numerators and denominators of both fractions (3/4 x 20/20) - (4/10 x 20/20) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 7/20.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 4/10 from 3/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/4 minus 4/10.
1. LCM method
2. Cross multiplication method.
3/4-4/10 using LCM Method:
What is 3/4 minus 4/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 4/10
What to be found?
3/4-4/10 = ?
Find what's the difference between 3/4 and 4/10.
step 2 Compare the denominators of fractions 3/4 and 4/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 4/10 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 3/4 and 4/10:
The LCM of 4 and 10 is 20.
step 4 Write the fractions 3/4 and 4/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/4-4/10
=(3 x 20)/(4 x 20)-(4 x 20)/(10 x 20)
step 5 Simplify the expression to have common denominator:
=15/20-8/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (15/1-8/1)
=1/20 x (15 - 8)
step 7Simplify the above expression further:
=1/20 x 7
=7/20
3/4-4/10=7/20
Hence,
3/4 minus 4/10 equals to 7/20 in fraction.
3/4-4/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 4/10
What to be found?
3/4-4/10 = ?
Find what's the difference between 3/4 and 4/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 10), find the product of numerator of Fraction B and denominator of Fraction A (4 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 10) and rewrite the equation as like the below:
= (3 x 10) - (4 x 4)/(4 x 10)
step 3 Simplify and rewrite the fraction:
= (30 - 16)/40
= 14/40
= 7/20
3/4-4/10 = 7/20
Hence,
3/4 minus 4/10 = 7/20