17/8 + 4 as a fraction

Learn how to find what is 17/8 plus 4 in fraction form just in a few minutes. We have covered the easiest method to write 17/8 + 4 as a fraction and decimal.

Summary: 17/8 plus 4 = 49/8
Since both fractions have unequal denominators, 17/8 plus 4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 1. 8 is the LCM of 8 and 1. Multiplying the LCM 8 with the numerators and denominators of both fractions (17/8 x 8/8) + (4 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 17/8 and for 4 is 32/8. By simplifying this fraction addition 17/8 + 32/8, it becomes 49/8.

CALCULATION: 17/8 + 4 as a fraction
17/8 + 4 = (?)
17/8 + 4/1 = [(17 x 1) + (4 x 8)]/(8 x 1)
= (17 + 32)/8
= 49/8
17/8 + 4 = 49/8
17/8 plus 4 as a fraction is 49/8.

where
17/8 is a improper fraction as an addend,
4 is a whole number as an addend,
49/8 is the sum of 17/8 and 4.

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17/8 plus 4 as a decimal
17/8 + 4 = 49/8
49/8 = 6.125
(17/8) + (4) as a decimal is 6.125

where
6.125 is the sum of 17/8 and 4.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/8 and 4 by adding fraction to a whole number . The sum in fraction form for 17/8 plus 4/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/8) + (4) using LCM Method:
What is 17/8 plus 4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 4/1

What to be found?
(17/8) + (4) = ?
Find what's the sum of 17/8 and 4.

step 2 Compare the denominators of fractions 17/8 and 4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/8 and 4 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 17/8 and 4:
The LCM of 8 and 1 is 8.

step 4 Write the fractions 17/8 and 4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/8 + 4
= [(17 x 8)/(8 x 8)] + [(4 x 8)/(1 x 8)]

step 5 Simplify the expression to have common denominator:
= 17/8 + 32/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (17/1 + 32/1)
= 1/8 x (17 + 32)

step 7Simplify the above expression further:
= 1/8 x 49
= 49/8
17/8 + 4 = 49/8

Hence,
17/8 plus 4 as a fraction is 49/8.

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17/8 + 4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 4/1

What to be found?
(17/8)+(4) = ?
Find what's the sum of 17/8 and 4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 1), find the product of numerator of Fraction B and denominator of Fraction A (4 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 1) and rewrite the equation as like the below:
= (17 x 1) + (4 x 8)/(8 x 1)

step 3 Simplify and rewrite the fraction:
= (17 + 32)/8
17/8 + 4 = 49/8

Hence,
17/8 plus 4 in fraction is 49/8