What is 3/7 plus 1/12 in fraction?
3/7 plus 1/12 equals to 43/84 in fraction form.
Learn how to find what is 3/7 plus 1/12 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 + 1/12 as a fraction and decimal.
Summary: 3/7 plus 1/12
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/7 and 1/12 having identical denominators before starting adding the fractions. Find the LCM of denominators, 84 is the LCM of 7 and 12. Multiply the LCM 84 with all the numerators and denominators of both fractions (3/7 x 84/84) + (1/12 x 84/84) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 43/84.
The below workout with step by step calculation shows how to find the equivalent fraction between 3/7 and 1/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/7 plus 1/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/7+1/12 using LCM Method:
What is 3/7 plus 1/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 1/12
What to be found?
3/7+1/12 = ?
Find what's the sum of 3/7 and 1/12.
step 2 Compare the denominators of fractions 3/7 and 1/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 and 1/12 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 3/7 and 1/12:
The LCM of 7 and 12 is 84.
step 4 Write the fractions 3/7 and 1/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/7+1/12
=(3 x 84)/(7 x 84)+(1 x 84)/(12 x 84)
step 5 Simplify the expression to have common denominator:
=36/84+7/84
step 6 Take the common values out and rewrite the above expression like the below:
=1/84 x (36/1+7/1)
=1/84 x (36 + 7)
step 7Simplify the above expression further:
=1/84 x 43
=43/84
3/7+1/12=43/84
Hence,
3/7 plus 1/12 equals to 43/84 in fraction.
3/7+1/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 1/12
What to be found?
3/7+1/12 = ?
Find what's the sum of 3/7 and 1/12.
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 (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 12) and rewrite the equation as like the below:
= (3 x 12) + (1 x 7)/(7 x 12)
step 3 Simplify and rewrite the fraction:
= (36 + 7)/84
3/7+1/12 = 43/84
Hence,
3/7 plus 1/12 = 43/84