What is 15/19 plus 10/18 in fraction?
15/19 plus 10/18 equals to 230/171 in fraction form.
Learn how to find what is 15/19 plus 10/18 in fraction form just in a few minutes. We have covered the easiest method to write 15/19 + 10/18 as a fraction and decimal.
Summary: 15/19 plus 10/18
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 15/19 and 10/18 having identical denominators before starting adding the fractions. Find the LCM of denominators, 342 is the LCM of 19 and 18. Multiply the LCM 342 with all the numerators and denominators of both fractions (15/19 x 342/342) + (10/18 x 342/342) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 460/342.
The below workout with step by step calculation shows how to find the equivalent fraction between 15/19 and 10/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/19 plus 10/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
15/19+10/18 using LCM Method:
What is 15/19 plus 10/18 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/19
Fraction B: 10/18
What to be found?
15/19+10/18 = ?
Find what's the sum of 15/19 and 10/18.
step 2 Compare the denominators of fractions 15/19 and 10/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/19 and 10/18 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 15/19 and 10/18:
The LCM of 19 and 18 is 342.
step 4 Write the fractions 15/19 and 10/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=15/19+10/18
=(15 x 342)/(19 x 342)+(10 x 342)/(18 x 342)
step 5 Simplify the expression to have common denominator:
=270/342+190/342
step 6 Take the common values out and rewrite the above expression like the below:
=1/342 x (270/1+190/1)
=1/342 x (270 + 190)
step 7Simplify the above expression further:
=1/342 x 460
= 460/342
=230/171
15/19+10/18=230/171
Hence,
15/19 plus 10/18 equals to 230/171 in fraction.
15/19+10/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/19
Fraction B: 10/18
What to be found?
15/19+10/18 = ?
Find what's the sum of 15/19 and 10/18.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 18), find the product of numerator of Fraction B and denominator of Fraction A (10 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 18) and rewrite the equation as like the below:
= (15 x 18) + (10 x 19)/(19 x 18)
step 3 Simplify and rewrite the fraction:
= (270 + 190)/342
= 460/342
= 230/171
15/19+10/18 = 230/171
Hence,
15/19 plus 10/18 = 230/171