1/4 + 4/17 as a fraction

Learn how to find what is 1/4 plus 4/17 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 4/17 as a fraction and decimal.

Summary: 1/4 plus 4/17 = 33/68
Since both fractions have unequal denominators, 1/4 plus 4/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 4/17 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 (1/4 x 68/68) + (4/17 x 68/68), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 17/68 and for 4/17 is 16/68. By simplifying this fraction addition 17/68 + 16/68, it becomes 33/68.

Pie Chart Representation: 1/4 + 4/17 = 33/68

CALCULATION: 1/4 + 4/17 as a fraction
1/4 + 4/17 = (?)
1/4 + 4/17 = [(1 x 17) + (4 x 4)]/(4 x 17)
= (17 + 16)/68
= 33/68
1/4 + 4/17 = 33/68
1/4 plus 4/17 as a fraction is 33/68.

where
1/4 is a proper fraction as an addend,
4/17 is a proper fraction as an addend,
33/68 is the sum of 1/4 and 4/17.

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1/4 plus 4/17 as a decimal
1/4 + 4/17 = 33/68
33/68 = 0.4853
(1/4) + (4/17) as a decimal is 0.4853

where
0.4853 is the sum of 1/4 and 4/17.

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

(1/4) + (4/17) using LCM Method:
What is 1/4 plus 4/17 as a fraction?

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

What to be found?
(1/4) + (4/17) = ?
Find what's the sum of 1/4 and 4/17.

step 2 Compare the denominators of fractions 1/4 and 4/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 4/17 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 1/4 and 4/17:
The LCM of 4 and 17 is 68.

step 4 Write the fractions 1/4 and 4/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 4/17
= [(1 x 68)/(4 x 68)] + [(4 x 68)/(17 x 68)]

step 5 Simplify the expression to have common denominator:
= 17/68 + 16/68

step 6 Take the common values out and rewrite the above expression like the below:
= 1/68 x (17/1 + 16/1)
= 1/68 x (17 + 16)

step 7Simplify the above expression further:
= 1/68 x 33
= 33/68
1/4 + 4/17 = 33/68

Hence,
1/4 plus 4/17 as a fraction is 33/68.

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

What to be found?
(1/4)+(4/17) = ?
Find what's the sum of 1/4 and 4/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 17), find the product of numerator of Fraction B and denominator of Fraction A (4 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:
= (1 x 17) + (4 x 4)/(4 x 17)

step 3 Simplify and rewrite the fraction:
= (17 + 16)/68
1/4 + 4/17 = 33/68

Hence,
1/4 plus 4/17 in fraction is 33/68