3/10 plus 1/4 as a fraction
3/10 + 1/4 as a fraction provides the detailed information about what is 3/10 plus 1/4 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
3/10+1/4 equals to
3/10 + 1/4 = (?)
3/10 + 1/4 = [(3 x 4) + (1 x 10)]/(10 x 4)
= (12 + 10)/40
= 22/40
= (2 x 11)/(2 x 20)
= 11/20
3/10 + 1/4 = 11/20
3/10 plus 1/4 is equal to 11/20
where
3/10 is a fraction as an addend,
1/4 is a fraction as an addend,
11/20 is the sum of 3/10 and 1/4.
3/10 plus 1/4 as a decimal
3/10 + 1/4 = 11/20
11/20 = 0.55
3/10+1/4 as a decimal is 0.55
where
0.55 is the sum of 3/10 and 1/4.
How-to: 3/10 + 1/4 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 3/10 plus 1/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/10
Fraction B: 1/4
What to be found?
3/10+1/4 = ?
Find what's the sum of 3/10 and 1/4.
step 2 Compare the denominators of fractions 3/10 and 1/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/10 and 1/4 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 3/10 and 1/4:
The LCM of 10 and 4 is 20.
step 4 Write the fractions 3/10 and 1/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/10+1/4
=(3 x 20)/(10 x 20)+(1 x 20)/(4 x 20)
step 5 Simplify the expression to have common denominator:
=6/20+5/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (6/1+5/1)
=1/20 x (6 + 5)
step 7Simplify the above expression further:
=1/20 x 11
=11/20
3/10+1/4=11/20
Hence,
3/10 plus 1/4 equals to 11/20 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/10
Fraction B: 1/4
What to be found?
3/10+1/4 = ?
Find what's the sum of 3/10 and 1/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 4) and rewrite the equation as like the below:
= (3 x 4) + (1 x 10)/(10 x 4)
step 3 Simplify and rewrite the fraction:
= (12 + 10)/40
= 22/40
= 11/20
3/10+1/4 = 11/20
Hence,
3/10 plus 1/4 = 11/20
