What is 3/5 plus 2/12 in fraction?
3/5 plus 2/12 equals to 23/30 in fraction form.
Learn how to find what is 3/5 plus 2/12 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 + 2/12 as a fraction and decimal.
Summary: 3/5 plus 2/12
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/5 and 2/12 having identical denominators before starting adding the fractions. Find the LCM of denominators, 60 is the LCM of 5 and 12. Multiply the LCM 60 with all the numerators and denominators of both fractions (3/5 x 60/60) + (2/12 x 60/60) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 46/60.
The below workout with step by step calculation shows how to find the equivalent fraction between 3/5 and 2/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/5 plus 2/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/5+2/12 using LCM Method:
What is 3/5 plus 2/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/12
What to be found?
3/5+2/12 = ?
Find what's the sum of 3/5 and 2/12.
step 2 Compare the denominators of fractions 3/5 and 2/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/5 and 2/12 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 3/5 and 2/12:
The LCM of 5 and 12 is 60.
step 4 Write the fractions 3/5 and 2/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/5+2/12
=(3 x 60)/(5 x 60)+(2 x 60)/(12 x 60)
step 5 Simplify the expression to have common denominator:
=36/60+10/60
step 6 Take the common values out and rewrite the above expression like the below:
=1/60 x (36/1+10/1)
=1/60 x (36 + 10)
step 7Simplify the above expression further:
=1/60 x 46
= 46/60
=23/30
3/5+2/12=23/30
Hence,
3/5 plus 2/12 equals to 23/30 in fraction.
3/5+2/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/12
What to be found?
3/5+2/12 = ?
Find what's the sum of 3/5 and 2/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 12), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 12) and rewrite the equation as like the below:
= (3 x 12) + (2 x 5)/(5 x 12)
step 3 Simplify and rewrite the fraction:
= (36 + 10)/60
= 46/60
= 23/30
3/5+2/12 = 23/30
Hence,
3/5 plus 2/12 = 23/30