What is 2/8 + 1/69 in fraction?
2/8 + 1/69 equals to 73/276 in fraction form.
Learn how to find what is 2/8 plus 1/69 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/69 as a fraction and decimal.
Summary: 2/8 plus 1/69 = 73/276
Since both fractions have unequal denominators, 2/8 plus 1/69 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/69 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 69. 552 is the LCM of 8 and 69. Multiplying the LCM 552 with the numerators and denominators of both fractions (2/8 x 552/552) + (1/69 x 552/552), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 138/552 and for 1/69 is 8/552. By simplifying this fraction addition 138/552 + 8/552, it becomes 146/552.
Pie Chart Representation: 2/8 + 1/69 = 73/276
The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/69 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/69 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/8) + (1/69) using LCM Method:
What is 2/8 plus 1/69 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/69
What to be found?
(2/8) + (1/69) = ?
Find what's the sum of 2/8 and 1/69.
step 2 Compare the denominators of fractions 2/8 and 1/69 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 and 1/69 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 2/8 and 1/69:
The LCM of 8 and 69 is 552.
step 4 Write the fractions 2/8 and 1/69 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 + 1/69
= [(2 x 552)/(8 x 552)] + [(1 x 552)/(69 x 552)]
step 5 Simplify the expression to have common denominator:
= 138/552 + 8/552
step 6 Take the common values out and rewrite the above expression like the below:
= 1/552 x (138/1 + 8/1)
= 1/552 x (138 + 8)
step 7Simplify the above expression further:
= 1/552 x 146
= 146/552
= 73/276
2/8 + 1/69 = 73/276
Hence,
2/8 plus 1/69 as a fraction is 73/276.
2/8 + 1/69 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/69
What to be found?
(2/8)+(1/69) = ?
Find what's the sum of 2/8 and 1/69.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 69), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 69) and rewrite the equation as like the below:
= (2 x 69) + (1 x 8)/(8 x 69)
step 3 Simplify and rewrite the fraction:
= (138 + 8)/552
= 146/552
= 73/276
2/8 + 1/69 = 73/276
Hence,
2/8 plus 1/69 in fraction is 73/276