3/4 + 6/17 as a fraction

Learn how to find what is 3/4 plus 6/17 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 + 6/17 as a fraction and decimal.

Summary: 3/4 plus 6/17 = 75/68
Since both fractions have unequal denominators, 3/4 plus 6/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/4 and fraction 6/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 17. 68 is the LCM of 4 and 17. Multiplying the LCM 68 with the numerators and denominators of both fractions (3/4 x 68/68) + (6/17 x 68/68), and simplify further in order to have the common denominator. So the equivalent fraction for 3/4 is 51/68 and for 6/17 is 24/68. By simplifying this fraction addition 51/68 + 24/68, it becomes 75/68.

CALCULATION: 3/4 + 6/17 as a fraction
3/4 + 6/17 = (?)
3/4 + 6/17 = [(3 x 17) + (6 x 4)]/(4 x 17)
= (51 + 24)/68
= 75/68
3/4 + 6/17 = 75/68
3/4 plus 6/17 as a fraction is 75/68.

where
3/4 is a proper fraction as an addend,
6/17 is a proper fraction as an addend,
75/68 is the sum of 3/4 and 6/17.

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3/4 plus 6/17 as a decimal
3/4 + 6/17 = 75/68
75/68 = 1.1029
(3/4) + (6/17) as a decimal is 1.1029

where
1.1029 is the sum of 3/4 and 6/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/4 and 6/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/4 plus 6/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/4) + (6/17) using LCM Method:
What is 3/4 plus 6/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 6/17

What to be found?
(3/4) + (6/17) = ?
Find what's the sum of 3/4 and 6/17.

step 2 Compare the denominators of fractions 3/4 and 6/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 6/17 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 6/17:
The LCM of 4 and 17 is 68.

step 4 Write the fractions 3/4 and 6/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/4 + 6/17
= [(3 x 68)/(4 x 68)] + [(6 x 68)/(17 x 68)]

step 5 Simplify the expression to have common denominator:
= 51/68 + 24/68

step 6 Take the common values out and rewrite the above expression like the below:
= 1/68 x (51/1 + 24/1)
= 1/68 x (51 + 24)

step 7Simplify the above expression further:
= 1/68 x 75
= 75/68
3/4 + 6/17 = 75/68

Hence,
3/4 plus 6/17 as a fraction is 75/68.

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3/4 + 6/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 6/17

What to be found?
(3/4)+(6/17) = ?
Find what's the sum of 3/4 and 6/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 17), find the product of numerator of Fraction B and denominator of Fraction A (6 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 17) and rewrite the equation as like the below:
= (3 x 17) + (6 x 4)/(4 x 17)

step 3 Simplify and rewrite the fraction:
= (51 + 24)/68
3/4 + 6/17 = 75/68

Hence,
3/4 plus 6/17 in fraction is 75/68