What is 2/5 plus 7/19 in fraction?
2/5 plus 7/19 equals to 73/95 in fraction form.
2/5 + 7/19 in fraction form
Learn how to find what is 2/5 plus 7/19 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 7/19 as a fraction and decimal.
Summary: 2/5 plus 7/19
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 7/19 having identical denominators before starting adding the fractions. Find the LCM of denominators, 95 is the LCM of 5 and 19. Multiply the LCM 95 with all the numerators and denominators of both fractions (2/5 x 95/95) + (7/19 x 95/95) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 73/95.
2/5+7/19 as a fraction
2/5 + 7/19 = (?)
2/5 + 7/19 = [(2 x 19) + (7 x 5)]/(5 x 19)
= (38 + 35)/95
= 73/95
2/5 + 7/19 = 73/95
2/5 plus 7/19 as a fraction is 73/95.
where
2/5 is a fraction as an addend,
7/19 is a fraction as an addend,
73/95 is the sum of 2/5 and 7/19.
2/5 plus 7/19 as a decimal
2/5 + 7/19 = 73/95
73/95 = 0.7684
2/5+7/19 as a decimal is 0.7684
where
0.7684 is the sum of 2/5 and 7/19.
How to find 2/5+7/19 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 7/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 7/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/5+7/19 using LCM Method:
What is 2/5 plus 7/19 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 7/19
What to be found?
2/5+7/19 = ?
Find what's the sum of 2/5 and 7/19.
step 2 Compare the denominators of fractions 2/5 and 7/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 7/19 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 7/19:
The LCM of 5 and 19 is 95.
step 4 Write the fractions 2/5 and 7/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5+7/19
=(2 x 95)/(5 x 95)+(7 x 95)/(19 x 95)
step 5 Simplify the expression to have common denominator:
=38/95+35/95
step 6 Take the common values out and rewrite the above expression like the below:
=1/95 x (38/1+35/1)
=1/95 x (38 + 35)
step 7Simplify the above expression further:
=1/95 x 73
=73/95
2/5+7/19=73/95
Hence,
2/5 plus 7/19 equals to 73/95 in fraction.
2/5+7/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 7/19
What to be found?
2/5+7/19 = ?
Find what's the sum of 2/5 and 7/19.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 19), 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 19) and rewrite the equation as like the below:
= (2 x 19) + (7 x 5)/(5 x 19)
step 3 Simplify and rewrite the fraction:
= (38 + 35)/95
2/5+7/19 = 73/95
Hence,
2/5 plus 7/19 = 73/95