What is 1/9 + 2/62 in fraction?
1/9 + 2/62 equals to 40/279 in fraction form.
Learn how to find what is 1/9 plus 2/62 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 2/62 as a fraction and decimal.
Summary: 1/9 plus 2/62 = 40/279
Since both fractions have unequal denominators, 1/9 plus 2/62 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/62 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 62. 558 is the LCM of 9 and 62. Multiplying the LCM 558 with the numerators and denominators of both fractions (1/9 x 558/558) + (2/62 x 558/558), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 62/558 and for 2/62 is 18/558. By simplifying this fraction addition 62/558 + 18/558, it becomes 80/558.
Pie Chart Representation: 1/9 + 2/62 = 40/279
The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 2/62 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 2/62 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/9) + (2/62) using LCM Method:
What is 1/9 plus 2/62 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/62
What to be found?
(1/9) + (2/62) = ?
Find what's the sum of 1/9 and 2/62.
step 2 Compare the denominators of fractions 1/9 and 2/62 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 2/62 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 1/9 and 2/62:
The LCM of 9 and 62 is 558.
step 4 Write the fractions 1/9 and 2/62 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 2/62
= [(1 x 558)/(9 x 558)] + [(2 x 558)/(62 x 558)]
step 5 Simplify the expression to have common denominator:
= 62/558 + 18/558
step 6 Take the common values out and rewrite the above expression like the below:
= 1/558 x (62/1 + 18/1)
= 1/558 x (62 + 18)
step 7Simplify the above expression further:
= 1/558 x 80
= 80/558
= 40/279
1/9 + 2/62 = 40/279
Hence,
1/9 plus 2/62 as a fraction is 40/279.
1/9 + 2/62 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/62
What to be found?
(1/9)+(2/62) = ?
Find what's the sum of 1/9 and 2/62.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 62), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 62) and rewrite the equation as like the below:
= (1 x 62) + (2 x 9)/(9 x 62)
step 3 Simplify and rewrite the fraction:
= (62 + 18)/558
= 80/558
= 40/279
1/9 + 2/62 = 40/279
Hence,
1/9 plus 2/62 in fraction is 40/279