What is 7/6 plus 4/7 in fraction?
7/6 plus 4/7 equals to 73/42 in fraction form.
Learn how to find what is 7/6 plus 4/7 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 + 4/7 as a fraction and decimal.
Summary: 7/6 plus 4/7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/6 and 4/7 having identical denominators before starting adding the fractions. Find the LCM of denominators, 42 is the LCM of 6 and 7. Multiply the LCM 42 with all the numerators and denominators of both fractions (7/6 x 42/42) + (4/7 x 42/42) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 73/42.
The below workout with step by step calculation shows how to find the equivalent fraction between 7/6 and 4/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/6 plus 4/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
7/6+4/7 using LCM Method:
What is 7/6 plus 4/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 4/7
What to be found?
7/6+4/7 = ?
Find what's the sum of 7/6 and 4/7.
step 2 Compare the denominators of fractions 7/6 and 4/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/6 and 4/7 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 7/6 and 4/7:
The LCM of 6 and 7 is 42.
step 4 Write the fractions 7/6 and 4/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/6+4/7
=(7 x 42)/(6 x 42)+(4 x 42)/(7 x 42)
step 5 Simplify the expression to have common denominator:
=49/42+24/42
step 6 Take the common values out and rewrite the above expression like the below:
=1/42 x (49/1+24/1)
=1/42 x (49 + 24)
step 7Simplify the above expression further:
=1/42 x 73
=73/42
7/6+4/7=73/42
Hence,
7/6 plus 4/7 equals to 73/42 in fraction.
7/6+4/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 4/7
What to be found?
7/6+4/7 = ?
Find what's the sum of 7/6 and 4/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 7), find the product of numerator of Fraction B and denominator of Fraction A (4 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 7) and rewrite the equation as like the below:
= (7 x 7) + (4 x 6)/(6 x 7)
step 3 Simplify and rewrite the fraction:
= (49 + 24)/42
7/6+4/7 = 73/42
Hence,
7/6 plus 4/7 = 73/42