What is 2/4 plus 4/10 in fraction?
2/4 plus 4/10 equals to 9/10 in fraction form.
Learn how to find what is 2/4 plus 4/10 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 + 4/10 as a fraction and decimal.
Summary: 2/4 plus 4/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/4 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 (2/4 x 20/20) + (4/10 x 20/20) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 18/20.
The below workout with step by step calculation shows how to find the equivalent fraction between 2/4 and 4/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/4 plus 4/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/4+4/10 using LCM Method:
What is 2/4 plus 4/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 4/10
What to be found?
2/4+4/10 = ?
Find what's the sum of 2/4 and 4/10.
step 2 Compare the denominators of fractions 2/4 and 4/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/4 and 4/10 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 2/4 and 4/10:
The LCM of 4 and 10 is 20.
step 4 Write the fractions 2/4 and 4/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/4+4/10
=(2 x 20)/(4 x 20)+(4 x 20)/(10 x 20)
step 5 Simplify the expression to have common denominator:
=10/20+8/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (10/1+8/1)
=1/20 x (10 + 8)
step 7Simplify the above expression further:
=1/20 x 18
= 18/20
=9/10
2/4+4/10=9/10
Hence,
2/4 plus 4/10 equals to 9/10 in fraction.
2/4+4/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 4/10
What to be found?
2/4+4/10 = ?
Find what's the sum of 2/4 and 4/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 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:
= (2 x 10) + (4 x 4)/(4 x 10)
step 3 Simplify and rewrite the fraction:
= (20 + 16)/40
= 36/40
= 9/10
2/4+4/10 = 9/10
Hence,
2/4 plus 4/10 = 9/10