14/5 + 10/7 as a fraction

Learn how to find what is 14/5 plus 10/7 in fraction form just in a few minutes. We have covered the easiest method to write 14/5 + 10/7 as a fraction and decimal.

Summary: 14/5 plus 10/7 = 148/35
Since both fractions have unequal denominators, 14/5 plus 10/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/5 and fraction 10/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 7. 35 is the LCM of 5 and 7. Multiplying the LCM 35 with the numerators and denominators of both fractions (14/5 x 35/35) + (10/7 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 14/5 is 98/35 and for 10/7 is 50/35. By simplifying this fraction addition 98/35 + 50/35, it becomes 148/35.

CALCULATION: 14/5 + 10/7 as a fraction
14/5 + 10/7 = (?)
14/5 + 10/7 = [(14 x 7) + (10 x 5)]/(5 x 7)
= (98 + 50)/35
= 148/35
14/5 + 10/7 = 148/35
14/5 plus 10/7 as a fraction is 148/35.

where
14/5 is a improper fraction as an addend,
10/7 is a improper fraction as an addend,
148/35 is the sum of 14/5 and 10/7.

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14/5 plus 10/7 as a decimal
14/5 + 10/7 = 148/35
148/35 = 4.2286
(14/5) + (10/7) as a decimal is 4.2286

where
4.2286 is the sum of 14/5 and 10/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/5 and 10/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/5 plus 10/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/5) + (10/7) using LCM Method:
What is 14/5 plus 10/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 10/7

What to be found?
(14/5) + (10/7) = ?
Find what's the sum of 14/5 and 10/7.

step 2 Compare the denominators of fractions 14/5 and 10/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/5 and 10/7 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 14/5 and 10/7:
The LCM of 5 and 7 is 35.

step 4 Write the fractions 14/5 and 10/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/5 + 10/7
= [(14 x 35)/(5 x 35)] + [(10 x 35)/(7 x 35)]

step 5 Simplify the expression to have common denominator:
= 98/35 + 50/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (98/1 + 50/1)
= 1/35 x (98 + 50)

step 7Simplify the above expression further:
= 1/35 x 148
= 148/35
14/5 + 10/7 = 148/35

Hence,
14/5 plus 10/7 as a fraction is 148/35.

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14/5 + 10/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 10/7

What to be found?
(14/5)+(10/7) = ?
Find what's the sum of 14/5 and 10/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 7), find the product of numerator of Fraction B and denominator of Fraction A (10 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 7) and rewrite the equation as like the below:
= (14 x 7) + (10 x 5)/(5 x 7)

step 3 Simplify and rewrite the fraction:
= (98 + 50)/35
14/5 + 10/7 = 148/35

Hence,
14/5 plus 10/7 in fraction is 148/35