1/2 Plus 1/5 In Fraction

The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/5 can be obtained by using anyone of the two methods below.1. LCM method 2. Cross multiplication method.

1/2+1/5 using LCM Method: What is 1/2 plus 1/5 as a fraction?step 1 Observe the input parameters and what to be found:Input:Fraction A: 1/2Fraction B: 1/5What to be found? 1/2+1/5 = ? Find what's the sum of 1/2 and 1/5. step 2 Compare the denominators of fractions 1/2 and 1/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/5 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 1/2 and 1/5: The LCM of 2 and 5 is 10. step 4 Write the fractions 1/2 and 1/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions. =1/2+1/5 =(1 x 10)/(2 x 10)+(1 x 10)/(5 x 10) step 5 Simplify the expression to have common denominator: =5/10+2/10 step 6 Take the common values out and rewrite the above expression like the below: =1/10 x (5/1+2/1) =1/10 x (5 + 2)step 7Simplify the above expression further: =1/10 x 7=7/10 1/2+1/5=7/10 Hence, 1/2 plus 1/5 equals to 7/10 in fraction.

1/2+1/5 using Cross Multiplication Method: step 1 Observe the input parameters and what to be found:Input:Fraction A: 1/2Fraction B: 1/5What to be found? 1/2+1/5 = ? Find what's the sum of 1/2 and 1/5. step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 5), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 5) and rewrite the equation as like the below: = (1 x 5) + (1 x 2)/(2 x 5) step 3 Simplify and rewrite the fraction: = (5 + 2)/101/2+1/5 = 7/10Hence, 1/2 plus 1/5 = 7/10