The below workout with step by step calculation shows how to find the equivalent fraction between 3/4 and 2/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/4 plus 2/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/4+2/10 using LCM Method:
What is 3/4 plus 2/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 2/10
What to be found?
3/4+2/10 = ?
Find what's the sum of 3/4 and 2/10.
step 2 Compare the denominators of fractions 3/4 and 2/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 2/10 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 3/4 and 2/10:
The LCM of 4 and 10 is 20.
step 4 Write the fractions 3/4 and 2/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/4+2/10
=(3 x 20)/(4 x 20)+(2 x 20)/(10 x 20)
step 5 Simplify the expression to have common denominator:
=15/20+4/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (15/1+4/1)
=1/20 x (15 + 4)
step 7Simplify the above expression further:
=1/20 x 19
=19/20
3/4+2/10=19/20
Hence,
3/4 plus 2/10 equals to 19/20 in fraction.
3/4+2/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 2/10
What to be found?
3/4+2/10 = ?
Find what's the sum of 3/4 and 2/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 10), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 10) and rewrite the equation as like the below:
= (3 x 10) + (2 x 4)/(4 x 10)
step 3 Simplify and rewrite the fraction:
= (30 + 8)/40
= 38/40
= 19/20
3/4+2/10 = 19/20
Hence,
3/4 plus 2/10 = 19/20