What is 3/6 plus 1/10 in fraction?
3/6 plus 1/10 equals to 3/5 in fraction form.
Learn how to find what is 3/6 plus 1/10 in fraction form just in a few minutes. We have covered the easiest method to write 3/6 + 1/10 as a fraction and decimal.
Summary: 3/6 plus 1/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/6 and 1/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 30 is the LCM of 6 and 10. Multiply the LCM 30 with all the numerators and denominators of both fractions (3/6 x 30/30) + (1/10 x 30/30) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 18/30.
The below workout with step by step calculation shows how to find the equivalent fraction between 3/6 and 1/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/6 plus 1/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/6+1/10 using LCM Method:
What is 3/6 plus 1/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/6
Fraction B: 1/10
What to be found?
3/6+1/10 = ?
Find what's the sum of 3/6 and 1/10.
step 2 Compare the denominators of fractions 3/6 and 1/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/6 and 1/10 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 3/6 and 1/10:
The LCM of 6 and 10 is 30.
step 4 Write the fractions 3/6 and 1/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/6+1/10
=(3 x 30)/(6 x 30)+(1 x 30)/(10 x 30)
step 5 Simplify the expression to have common denominator:
=15/30+3/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (15/1+3/1)
=1/30 x (15 + 3)
step 7Simplify the above expression further:
=1/30 x 18
= 18/30
=3/5
3/6+1/10=3/5
Hence,
3/6 plus 1/10 equals to 3/5 in fraction.
3/6+1/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/6
Fraction B: 1/10
What to be found?
3/6+1/10 = ?
Find what's the sum of 3/6 and 1/10.
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 (1 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 10) and rewrite the equation as like the below:
= (3 x 10) + (1 x 6)/(6 x 10)
step 3 Simplify and rewrite the fraction:
= (30 + 6)/60
= 36/60
= 3/5
3/6+1/10 = 3/5
Hence,
3/6 plus 1/10 = 3/5