What is 6/7 plus 3/4 in fraction?
6/7 plus 3/4 equals to 45/28 in fraction form.
Learn how to find what is 6/7 plus 3/4 in fraction form just in a few minutes. We have covered the easiest method to write 6/7 + 3/4 as a fraction and decimal.
Summary: 6/7 plus 3/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 6/7 and 3/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 28 is the LCM of 7 and 4. Multiply the LCM 28 with all the numerators and denominators of both fractions (6/7 x 28/28) + (3/4 x 28/28) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 45/28.
The below workout with step by step calculation shows how to find the equivalent fraction between 6/7 and 3/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/7 plus 3/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
6/7+3/4 using LCM Method:
What is 6/7 plus 3/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 3/4
What to be found?
6/7+3/4 = ?
Find what's the sum of 6/7 and 3/4.
step 2 Compare the denominators of fractions 6/7 and 3/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 and 3/4 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 6/7 and 3/4:
The LCM of 7 and 4 is 28.
step 4 Write the fractions 6/7 and 3/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=6/7+3/4
=(6 x 28)/(7 x 28)+(3 x 28)/(4 x 28)
step 5 Simplify the expression to have common denominator:
=24/28+21/28
step 6 Take the common values out and rewrite the above expression like the below:
=1/28 x (24/1+21/1)
=1/28 x (24 + 21)
step 7Simplify the above expression further:
=1/28 x 45
=45/28
6/7+3/4=45/28
Hence,
6/7 plus 3/4 equals to 45/28 in fraction.
6/7+3/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 3/4
What to be found?
6/7+3/4 = ?
Find what's the sum of 6/7 and 3/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 4), find the product of numerator of Fraction B and denominator of Fraction A (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 4) and rewrite the equation as like the below:
= (6 x 4) + (3 x 7)/(7 x 4)
step 3 Simplify and rewrite the fraction:
= (24 + 21)/28
6/7+3/4 = 45/28
Hence,
6/7 plus 3/4 = 45/28