14/1 + 2/7 as a fraction

Learn how to find what is 14/1 plus 2/7 in fraction form just in a few minutes. We have covered the easiest method to write 14/1 + 2/7 as a fraction and decimal.

Summary: 14/1 plus 2/7 = 100/7
Since both fractions have unequal denominators, 14/1 plus 2/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/1 and fraction 2/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 7. 7 is the LCM of 1 and 7. Multiplying the LCM 7 with the numerators and denominators of both fractions (14/1 x 7/7) + (2/7 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 14/1 is 98/7 and for 2/7 is 2/7. By simplifying this fraction addition 98/7 + 2/7, it becomes 100/7.

CALCULATION: 14/1 + 2/7 as a fraction
14/1 + 2/7 = (?)
14/1 + 2/7 = [(14 x 7) + (2 x 1)]/(1 x 7)
= (98 + 2)/7
= 100/7
14/1 + 2/7 = 100/7
14/1 plus 2/7 as a fraction is 100/7.

where
14/1 is a improper fraction as an addend,
2/7 is a proper fraction as an addend,
100/7 is the sum of 14/1 and 2/7.

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14/1 plus 2/7 as a decimal
14/1 + 2/7 = 100/7
100/7 = 14.2857
(14/1) + (2/7) as a decimal is 14.2857

where
14.2857 is the sum of 14/1 and 2/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/1 and 2/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/1 plus 2/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/1) + (2/7) using LCM Method:
What is 14/1 plus 2/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/1
Fraction B: 2/7

What to be found?
(14/1) + (2/7) = ?
Find what's the sum of 14/1 and 2/7.

step 2 Compare the denominators of fractions 14/1 and 2/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/1 and 2/7 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 14/1 and 2/7:
The LCM of 1 and 7 is 7.

step 4 Write the fractions 14/1 and 2/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/1 + 2/7
= [(14 x 7)/(1 x 7)] + [(2 x 7)/(7 x 7)]

step 5 Simplify the expression to have common denominator:
= 98/7 + 2/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (98/1 + 2/1)
= 1/7 x (98 + 2)

step 7Simplify the above expression further:
= 1/7 x 100
= 100/7
14/1 + 2/7 = 100/7

Hence,
14/1 plus 2/7 as a fraction is 100/7.

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14/1 + 2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/1
Fraction B: 2/7

What to be found?
(14/1)+(2/7) = ?
Find what's the sum of 14/1 and 2/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 7) and rewrite the equation as like the below:
= (14 x 7) + (2 x 1)/(1 x 7)

step 3 Simplify and rewrite the fraction:
= (98 + 2)/7
14/1 + 2/7 = 100/7

Hence,
14/1 plus 2/7 in fraction is 100/7