18/7 + 1/4 as a fraction

Learn how to find what is 18/7 plus 1/4 in fraction form just in a few minutes. We have covered the easiest method to write 18/7 + 1/4 as a fraction and decimal.

Summary: 18/7 plus 1/4 = 79/28
Since both fractions have unequal denominators, 18/7 plus 1/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/7 and fraction 1/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 4. 28 is the LCM of 7 and 4. Multiplying the LCM 28 with the numerators and denominators of both fractions (18/7 x 28/28) + (1/4 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 18/7 is 72/28 and for 1/4 is 7/28. By simplifying this fraction addition 72/28 + 7/28, it becomes 79/28.

CALCULATION: 18/7 + 1/4 as a fraction
18/7 + 1/4 = (?)
18/7 + 1/4 = [(18 x 4) + (1 x 7)]/(7 x 4)
= (72 + 7)/28
= 79/28
18/7 + 1/4 = 79/28
18/7 plus 1/4 as a fraction is 79/28.

where
18/7 is a improper fraction as an addend,
1/4 is a proper fraction as an addend,
79/28 is the sum of 18/7 and 1/4.

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18/7 plus 1/4 as a decimal
18/7 + 1/4 = 79/28
79/28 = 2.8214
(18/7) + (1/4) as a decimal is 2.8214

where
2.8214 is the sum of 18/7 and 1/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/7 and 1/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 18/7 plus 1/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/7) + (1/4) using LCM Method:
What is 18/7 plus 1/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 1/4

What to be found?
(18/7) + (1/4) = ?
Find what's the sum of 18/7 and 1/4.

step 2 Compare the denominators of fractions 18/7 and 1/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/7 and 1/4 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 18/7 and 1/4:
The LCM of 7 and 4 is 28.

step 4 Write the fractions 18/7 and 1/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/7 + 1/4
= [(18 x 28)/(7 x 28)] + [(1 x 28)/(4 x 28)]

step 5 Simplify the expression to have common denominator:
= 72/28 + 7/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (72/1 + 7/1)
= 1/28 x (72 + 7)

step 7Simplify the above expression further:
= 1/28 x 79
= 79/28
18/7 + 1/4 = 79/28

Hence,
18/7 plus 1/4 as a fraction is 79/28.

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18/7 + 1/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 1/4

What to be found?
(18/7)+(1/4) = ?
Find what's the sum of 18/7 and 1/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 4) and rewrite the equation as like the below:
= (18 x 4) + (1 x 7)/(7 x 4)

step 3 Simplify and rewrite the fraction:
= (72 + 7)/28
18/7 + 1/4 = 79/28

Hence,
18/7 plus 1/4 in fraction is 79/28