What is 1/13 plus 14 in fraction?
1/13 plus 14 equals to 183/13 in fraction form.
Learn how to find what is 1/13 plus 14 in fraction form just in a few minutes. We have covered the easiest method to write 1/13 + 14 as a fraction and decimal.
Summary: 1/13 plus 14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/13 and 14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 13 is the LCM of 13 and 1. Multiply the LCM 13 with all the numerators and denominators of both fractions (1/13 x 13/13) + (14 x 13/13) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 183/13.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/13 and 14 by adding fraction to a whole number . The sum in fraction form for 1/13 plus 14/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/13+14 using LCM Method:
What is 1/13 plus 14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/13
Fraction B: 14/1
What to be found?
1/13+14 = ?
Find what's the sum of 1/13 and 14.
step 2 Compare the denominators of fractions 1/13 and 14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/13 and 14 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 1/13 and 14:
The LCM of 13 and 1 is 13.
step 4 Write the fractions 1/13 and 14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/13+14
=(1 x 13)/(13 x 13)+(14 x 13)/(1 x 13)
step 5 Simplify the expression to have common denominator:
=1/13+182/13
step 6 Take the common values out and rewrite the above expression like the below:
=1/13 x (1/1+182/1)
=1/13 x (1 + 182)
step 7Simplify the above expression further:
=1/13 x 183
=183/13
1/13+14=183/13
Hence,
1/13 plus 14 equals to 183/13 in fraction.
1/13+14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/13
Fraction B: 14/1
What to be found?
1/13+14 = ?
Find what's the sum of 1/13 and 14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (14 x 13), and find the product of both denominators of Fraction A and Fraction B (13 x 1) and rewrite the equation as like the below:
= (1 x 1) + (14 x 13)/(13 x 1)
step 3 Simplify and rewrite the fraction:
= (1 + 182)/13
1/13+14 = 183/13
Hence,
1/13 plus 14 = 183/13