What is 2/5 plus 7/18 in fraction?
2/5 plus 7/18 equals to 71/90 in fraction form.
Learn how to find what is 2/5 plus 7/18 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 7/18 as a fraction and decimal.
Summary: 2/5 plus 7/18
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 7/18 having identical denominators before starting adding the fractions. Find the LCM of denominators, 90 is the LCM of 5 and 18. Multiply the LCM 90 with all the numerators and denominators of both fractions (2/5 x 90/90) + (7/18 x 90/90) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 71/90.
The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 7/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 7/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/5+7/18 using LCM Method:
What is 2/5 plus 7/18 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 7/18
What to be found?
2/5+7/18 = ?
Find what's the sum of 2/5 and 7/18.
step 2 Compare the denominators of fractions 2/5 and 7/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 7/18 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 2/5 and 7/18:
The LCM of 5 and 18 is 90.
step 4 Write the fractions 2/5 and 7/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5+7/18
=(2 x 90)/(5 x 90)+(7 x 90)/(18 x 90)
step 5 Simplify the expression to have common denominator:
=36/90+35/90
step 6 Take the common values out and rewrite the above expression like the below:
=1/90 x (36/1+35/1)
=1/90 x (36 + 35)
step 7Simplify the above expression further:
=1/90 x 71
=71/90
2/5+7/18=71/90
Hence,
2/5 plus 7/18 equals to 71/90 in fraction.
2/5+7/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 7/18
What to be found?
2/5+7/18 = ?
Find what's the sum of 2/5 and 7/18.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 18), find the product of numerator of Fraction B and denominator of Fraction A (7 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 18) and rewrite the equation as like the below:
= (2 x 18) + (7 x 5)/(5 x 18)
step 3 Simplify and rewrite the fraction:
= (36 + 35)/90
2/5+7/18 = 71/90
Hence,
2/5 plus 7/18 = 71/90