What is 3/7 plus 2/10 in fraction?
3/7 plus 2/10 equals to 22/35 in fraction form.
Learn how to find what is 3/7 plus 2/10 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 + 2/10 as a fraction and decimal.
Summary: 3/7 plus 2/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/7 and 2/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 70 is the LCM of 7 and 10. Multiply the LCM 70 with all the numerators and denominators of both fractions (3/7 x 70/70) + (2/10 x 70/70) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 44/70.
The below workout with step by step calculation shows how to find the equivalent fraction between 3/7 and 2/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/7 plus 2/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/7+2/10 using LCM Method:
What is 3/7 plus 2/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 2/10
What to be found?
3/7+2/10 = ?
Find what's the sum of 3/7 and 2/10.
step 2 Compare the denominators of fractions 3/7 and 2/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 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 3/7 and 2/10:
The LCM of 7 and 10 is 70.
step 4 Write the fractions 3/7 and 2/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/7+2/10
=(3 x 70)/(7 x 70)+(2 x 70)/(10 x 70)
step 5 Simplify the expression to have common denominator:
=30/70+14/70
step 6 Take the common values out and rewrite the above expression like the below:
=1/70 x (30/1+14/1)
=1/70 x (30 + 14)
step 7Simplify the above expression further:
=1/70 x 44
= 44/70
=22/35
3/7+2/10=22/35
Hence,
3/7 plus 2/10 equals to 22/35 in fraction.
3/7+2/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 2/10
What to be found?
3/7+2/10 = ?
Find what's the sum of 3/7 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 7), and find the product of both denominators of Fraction A and Fraction B (7 x 10) and rewrite the equation as like the below:
= (3 x 10) + (2 x 7)/(7 x 10)
step 3 Simplify and rewrite the fraction:
= (30 + 14)/70
= 44/70
= 22/35
3/7+2/10 = 22/35
Hence,
3/7 plus 2/10 = 22/35