17/7 + 4 as a fraction

Learn how to find what is 17/7 plus 4 in fraction form just in a few minutes. We have covered the easiest method to write 17/7 + 4 as a fraction and decimal.

Summary: 17/7 plus 4 = 45/7
Since both fractions have unequal denominators, 17/7 plus 4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/7 and fraction 4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (17/7 x 7/7) + (4 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 17/7 is 17/7 and for 4 is 28/7. By simplifying this fraction addition 17/7 + 28/7, it becomes 45/7.

CALCULATION: 17/7 + 4 as a fraction
17/7 + 4 = (?)
17/7 + 4/1 = [(17 x 1) + (4 x 7)]/(7 x 1)
= (17 + 28)/7
= 45/7
17/7 + 4 = 45/7
17/7 plus 4 as a fraction is 45/7.

where
17/7 is a improper fraction as an addend,
4 is a whole number as an addend,
45/7 is the sum of 17/7 and 4.

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17/7 plus 4 as a decimal
17/7 + 4 = 45/7
45/7 = 6.4286
(17/7) + (4) as a decimal is 6.4286

where
6.4286 is the sum of 17/7 and 4.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/7 and 4 by adding fraction to a whole number . The sum in fraction form for 17/7 plus 4/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/7) + (4) using LCM Method:
What is 17/7 plus 4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/7
Fraction B: 4/1

What to be found?
(17/7) + (4) = ?
Find what's the sum of 17/7 and 4.

step 2 Compare the denominators of fractions 17/7 and 4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/7 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 17/7 and 4:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 17/7 and 4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/7 + 4
= [(17 x 7)/(7 x 7)] + [(4 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 17/7 + 28/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (17/1 + 28/1)
= 1/7 x (17 + 28)

step 7Simplify the above expression further:
= 1/7 x 45
= 45/7
17/7 + 4 = 45/7

Hence,
17/7 plus 4 as a fraction is 45/7.

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17/7 + 4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/7
Fraction B: 4/1

What to be found?
(17/7)+(4) = ?
Find what's the sum of 17/7 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 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (17 x 1) + (4 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (17 + 28)/7
17/7 + 4 = 45/7

Hence,
17/7 plus 4 in fraction is 45/7