3/7 + 3/10 as a fraction

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

Summary: 3/7 plus 3/10 = 51/70
Since both fractions have unequal denominators, 3/7 plus 3/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/7 and fraction 3/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 10. 70 is the LCM of 7 and 10. Multiplying the LCM 70 with the numerators and denominators of both fractions (3/7 x 70/70) + (3/10 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 3/7 is 30/70 and for 3/10 is 21/70. By simplifying this fraction addition 30/70 + 21/70, it becomes 51/70.

Pie Chart Representation: 3/7 + 3/10 = 51/70

CALCULATION: 3/7 + 3/10 as a fraction
3/7 + 3/10 = (?)
3/7 + 3/10 = [(3 x 10) + (3 x 7)]/(7 x 10)
= (30 + 21)/70
= 51/70
3/7 + 3/10 = 51/70
3/7 plus 3/10 as a fraction is 51/70.

where
3/7 is a proper fraction as an addend,
3/10 is a proper fraction as an addend,
51/70 is the sum of 3/7 and 3/10.

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3/7 plus 3/10 as a decimal
3/7 + 3/10 = 51/70
51/70 = 0.7286
(3/7) + (3/10) as a decimal is 0.7286

where
0.7286 is the sum of 3/7 and 3/10.

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

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

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

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

step 2 Compare the denominators of fractions 3/7 and 3/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 and 3/10 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 3/7 and 3/10:
The LCM of 7 and 10 is 70.

step 4 Write the fractions 3/7 and 3/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/7 + 3/10
= [(3 x 70)/(7 x 70)] + [(3 x 70)/(10 x 70)]

step 5 Simplify the expression to have common denominator:
= 30/70 + 21/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (30/1 + 21/1)
= 1/70 x (30 + 21)

step 7Simplify the above expression further:
= 1/70 x 51
= 51/70
3/7 + 3/10 = 51/70

Hence,
3/7 plus 3/10 as a fraction is 51/70.

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

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

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

step 3 Simplify and rewrite the fraction:
= (30 + 21)/70
3/7 + 3/10 = 51/70

Hence,
3/7 plus 3/10 in fraction is 51/70