What is 3/4 plus 2/13 in fraction?
3/4 plus 2/13 equals to 47/52 in fraction form.
Learn how to find what is 3/4 plus 2/13 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 + 2/13 as a fraction and decimal.
Summary: 3/4 plus 2/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/4 and 2/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 52 is the LCM of 4 and 13. Multiply the LCM 52 with all the numerators and denominators of both fractions (3/4 x 52/52) + (2/13 x 52/52) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 47/52.
The below workout with step by step calculation shows how to find the equivalent fraction between 3/4 and 2/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/4 plus 2/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/4+2/13 using LCM Method:
What is 3/4 plus 2/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 2/13
What to be found?
3/4+2/13 = ?
Find what's the sum of 3/4 and 2/13.
step 2 Compare the denominators of fractions 3/4 and 2/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 2/13 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 3/4 and 2/13:
The LCM of 4 and 13 is 52.
step 4 Write the fractions 3/4 and 2/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/4+2/13
=(3 x 52)/(4 x 52)+(2 x 52)/(13 x 52)
step 5 Simplify the expression to have common denominator:
=39/52+8/52
step 6 Take the common values out and rewrite the above expression like the below:
=1/52 x (39/1+8/1)
=1/52 x (39 + 8)
step 7Simplify the above expression further:
=1/52 x 47
=47/52
3/4+2/13=47/52
Hence,
3/4 plus 2/13 equals to 47/52 in fraction.
3/4+2/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 2/13
What to be found?
3/4+2/13 = ?
Find what's the sum of 3/4 and 2/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 13), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 13) and rewrite the equation as like the below:
= (3 x 13) + (2 x 4)/(4 x 13)
step 3 Simplify and rewrite the fraction:
= (39 + 8)/52
3/4+2/13 = 47/52
Hence,
3/4 plus 2/13 = 47/52