What is 2/5 minus 10/4 in fraction?
2/5 minus 10/4 equals to -21/10 in fraction form.
Learn how to find what is 2/5 minus 10/4 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 10/4 as a fraction and decimal.
Summary: 2/5 minus 10/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 10/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 20 is the LCM of 5 and 4. Multiply the LCM 20 with all the numerators and denominators of both fractions (2/5 x 20/20) - (10/4 x 20/20) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -42/20.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 10/4 from 2/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/5 minus 10/4.
1. LCM method
2. Cross multiplication method.
2/5-10/4 using LCM Method:
What is 2/5 minus 10/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 10/4
What to be found?
2/5-10/4 = ?
Find what's the difference between 2/5 and 10/4.
step 2 Compare the denominators of fractions 2/5 and 10/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 10/4 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 2/5 and 10/4:
The LCM of 5 and 4 is 20.
step 4 Write the fractions 2/5 and 10/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5-10/4
=(2 x 20)/(5 x 20)-(10 x 20)/(4 x 20)
step 5 Simplify the expression to have common denominator:
=8/20-50/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (8/1-50/1)
=1/20 x (8 - 50)
step 7Simplify the above expression further:
=1/20 x -42
= -42/20
=-21/10
2/5-10/4=-21/10
Hence,
2/5 minus 10/4 equals to -21/10 in fraction.
2/5-10/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 10/4
What to be found?
2/5-10/4 = ?
Find what's the difference between 2/5 and 10/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 4), find the product of numerator of Fraction B and denominator of Fraction A (10 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 4) and rewrite the equation as like the below:
= (2 x 4) - (10 x 5)/(5 x 4)
step 3 Simplify and rewrite the fraction:
= (8 - 50)/20
= -42/20
= -21/10
2/5-10/4 = -21/10
Hence,
2/5 minus 10/4 = -21/10