12/17 + 3/10 as a fraction

Learn how to find what is 12/17 plus 3/10 in fraction form just in a few minutes. We have covered the easiest method to write 12/17 + 3/10 as a fraction and decimal.

Summary: 12/17 plus 3/10 = 171/170
Since both fractions have unequal denominators, 12/17 plus 3/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/17 and fraction 3/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 17 and 10. 170 is the LCM of 17 and 10. Multiplying the LCM 170 with the numerators and denominators of both fractions (12/17 x 170/170) + (3/10 x 170/170), and simplify further in order to have the common denominator. So the equivalent fraction for 12/17 is 120/170 and for 3/10 is 51/170. By simplifying this fraction addition 120/170 + 51/170, it becomes 171/170.

CALCULATION: 12/17 + 3/10 as a fraction
12/17 + 3/10 = (?)
12/17 + 3/10 = [(12 x 10) + (3 x 17)]/(17 x 10)
= (120 + 51)/170
= 171/170
12/17 + 3/10 = 171/170
12/17 plus 3/10 as a fraction is 171/170.

where
12/17 is a proper fraction as an addend,
3/10 is a proper fraction as an addend,
171/170 is the sum of 12/17 and 3/10.

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12/17 plus 3/10 as a decimal
12/17 + 3/10 = 171/170
171/170 = 1.0059
(12/17) + (3/10) as a decimal is 1.0059

where
1.0059 is the sum of 12/17 and 3/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/17 and 3/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/17 plus 3/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/17) + (3/10) using LCM Method:
What is 12/17 plus 3/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/17
Fraction B: 3/10

What to be found?
(12/17) + (3/10) = ?
Find what's the sum of 12/17 and 3/10.

step 2 Compare the denominators of fractions 12/17 and 3/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/17 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 12/17 and 3/10:
The LCM of 17 and 10 is 170.

step 4 Write the fractions 12/17 and 3/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/17 + 3/10
= [(12 x 170)/(17 x 170)] + [(3 x 170)/(10 x 170)]

step 5 Simplify the expression to have common denominator:
= 120/170 + 51/170

step 6 Take the common values out and rewrite the above expression like the below:
= 1/170 x (120/1 + 51/1)
= 1/170 x (120 + 51)

step 7Simplify the above expression further:
= 1/170 x 171
= 171/170
12/17 + 3/10 = 171/170

Hence,
12/17 plus 3/10 as a fraction is 171/170.

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12/17 + 3/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/17
Fraction B: 3/10

What to be found?
(12/17)+(3/10) = ?
Find what's the sum of 12/17 and 3/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 10), find the product of numerator of Fraction B and denominator of Fraction A (3 x 17), and find the product of both denominators of Fraction A and Fraction B (17 x 10) and rewrite the equation as like the below:
= (12 x 10) + (3 x 17)/(17 x 10)

step 3 Simplify and rewrite the fraction:
= (120 + 51)/170
12/17 + 3/10 = 171/170

Hence,
12/17 plus 3/10 in fraction is 171/170