3/4 + 7/10 as a fraction

Learn how to find what is 3/4 plus 7/10 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 + 7/10 as a fraction and decimal.

Summary: 3/4 plus 7/10 = 29/20
Since both fractions have unequal denominators, 3/4 plus 7/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/4 and fraction 7/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 10. 20 is the LCM of 4 and 10. Multiplying the LCM 20 with the numerators and denominators of both fractions (3/4 x 20/20) + (7/10 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 3/4 is 15/20 and for 7/10 is 14/20. By simplifying this fraction addition 15/20 + 14/20, it becomes 29/20.

CALCULATION: 3/4 + 7/10 as a fraction
3/4 + 7/10 = (?)
3/4 + 7/10 = [(3 x 10) + (7 x 4)]/(4 x 10)
= (30 + 28)/40
= 58/40
= (2 x 29)/(2 x 20)
= 29/20
3/4 + 7/10 = 29/20
3/4 plus 7/10 as a fraction is 29/20.

where
3/4 is a proper fraction as an addend,
7/10 is a proper fraction as an addend,
29/20 is the sum of 3/4 and 7/10.

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3/4 plus 7/10 as a decimal
3/4 + 7/10 = 29/20
29/20 = 1.45
(3/4) + (7/10) as a decimal is 1.45

where
1.45 is the sum of 3/4 and 7/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/4 and 7/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/4 plus 7/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/4) + (7/10) using LCM Method:
What is 3/4 plus 7/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 7/10

What to be found?
(3/4) + (7/10) = ?
Find what's the sum of 3/4 and 7/10.

step 2 Compare the denominators of fractions 3/4 and 7/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 7/10 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 7/10:
The LCM of 4 and 10 is 20.

step 4 Write the fractions 3/4 and 7/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/4 + 7/10
= [(3 x 20)/(4 x 20)] + [(7 x 20)/(10 x 20)]

step 5 Simplify the expression to have common denominator:
= 15/20 + 14/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (15/1 + 14/1)
= 1/20 x (15 + 14)

step 7Simplify the above expression further:
= 1/20 x 29
= 29/20
3/4 + 7/10 = 29/20

Hence,
3/4 plus 7/10 as a fraction is 29/20.

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3/4 + 7/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 7/10

What to be found?
(3/4)+(7/10) = ?
Find what's the sum of 3/4 and 7/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 10), find the product of numerator of Fraction B and denominator of Fraction A (7 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 10) and rewrite the equation as like the below:
= (3 x 10) + (7 x 4)/(4 x 10)

step 3 Simplify and rewrite the fraction:
= (30 + 28)/40
= 58/40
= 29/20
3/4 + 7/10 = 29/20

Hence,
3/4 plus 7/10 in fraction is 29/20