What is 1/2 plus 4/10 in fraction?
1/2 plus 4/10 equals to 9/10 in fraction form.
Learn how to find what is 1/2 plus 4/10 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 4/10 as a fraction and decimal.
Summary: 1/2 plus 4/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 4/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 10 is the LCM of 2 and 10. Multiply the LCM 10 with all the numerators and denominators of both fractions (1/2 x 10/10) + (4/10 x 10/10) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 9/10.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 4/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 4/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+4/10 using LCM Method:
What is 1/2 plus 4/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 4/10
What to be found?
1/2+4/10 = ?
Find what's the sum of 1/2 and 4/10.
step 2 Compare the denominators of fractions 1/2 and 4/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 4/10 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 1/2 and 4/10:
The LCM of 2 and 10 is 10.
step 4 Write the fractions 1/2 and 4/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+4/10
=(1 x 10)/(2 x 10)+(4 x 10)/(10 x 10)
step 5 Simplify the expression to have common denominator:
=5/10+4/10
step 6 Take the common values out and rewrite the above expression like the below:
=1/10 x (5/1+4/1)
=1/10 x (5 + 4)
step 7Simplify the above expression further:
=1/10 x 9
=9/10
1/2+4/10=9/10
Hence,
1/2 plus 4/10 equals to 9/10 in fraction.
1/2+4/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 4/10
What to be found?
1/2+4/10 = ?
Find what's the sum of 1/2 and 4/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 10), find the product of numerator of Fraction B and denominator of Fraction A (4 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 10) and rewrite the equation as like the below:
= (1 x 10) + (4 x 2)/(2 x 10)
step 3 Simplify and rewrite the fraction:
= (10 + 8)/20
= 18/20
= 9/10
1/2+4/10 = 9/10
Hence,
1/2 plus 4/10 = 9/10