What is 4/7 plus 2/4 in fraction?
4/7 plus 2/4 equals to 15/14 in fraction form.
Learn how to find what is 4/7 plus 2/4 in fraction form just in a few minutes. We have covered the easiest method to write 4/7 + 2/4 as a fraction and decimal.
Summary: 4/7 plus 2/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 4/7 and 2/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 28 is the LCM of 7 and 4. Multiply the LCM 28 with all the numerators and denominators of both fractions (4/7 x 28/28) + (2/4 x 28/28) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 30/28.
The below workout with step by step calculation shows how to find the equivalent fraction between 4/7 and 2/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/7 plus 2/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
4/7+2/4 using LCM Method:
What is 4/7 plus 2/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 2/4
What to be found?
4/7+2/4 = ?
Find what's the sum of 4/7 and 2/4.
step 2 Compare the denominators of fractions 4/7 and 2/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/7 and 2/4 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 4/7 and 2/4:
The LCM of 7 and 4 is 28.
step 4 Write the fractions 4/7 and 2/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=4/7+2/4
=(4 x 28)/(7 x 28)+(2 x 28)/(4 x 28)
step 5 Simplify the expression to have common denominator:
=16/28+14/28
step 6 Take the common values out and rewrite the above expression like the below:
=1/28 x (16/1+14/1)
=1/28 x (16 + 14)
step 7Simplify the above expression further:
=1/28 x 30
= 30/28
=15/14
4/7+2/4=15/14
Hence,
4/7 plus 2/4 equals to 15/14 in fraction.
4/7+2/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 2/4
What to be found?
4/7+2/4 = ?
Find what's the sum of 4/7 and 2/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 4), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 4) and rewrite the equation as like the below:
= (4 x 4) + (2 x 7)/(7 x 4)
step 3 Simplify and rewrite the fraction:
= (16 + 14)/28
= 30/28
= 15/14
4/7+2/4 = 15/14
Hence,
4/7 plus 2/4 = 15/14