1/4 plus 1/5 as a fraction
1/4 + 1/5 as a fraction provides the detailed information about what is 1/4 plus 1/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
1/4+1/5 equals to
1/4 + 1/5 = (?)
1/4 + 1/5 = [(1 x 5) + (1 x 4)]/(4 x 5)
= (5 + 4)/20
= 9/20
1/4 + 1/5 = 9/20
1/4 plus 1/5 is equal to 9/20
where
1/4 is a fraction as an addend,
1/5 is a fraction as an addend,
9/20 is the sum of 1/4 and 1/5.
1/4 plus 1/5 as a decimal
1/4 + 1/5 = 9/20
9/20 = 0.45
1/4+1/5 as a decimal is 0.45
where
0.45 is the sum of 1/4 and 1/5.
How-to: 1/4 + 1/5 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 1/4 plus 1/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/5
What to be found?
1/4+1/5 = ?
Find what's the sum of 1/4 and 1/5.
step 2 Compare the denominators of fractions 1/4 and 1/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 1/5 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 1/4 and 1/5:
The LCM of 4 and 5 is 20.
step 4 Write the fractions 1/4 and 1/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4+1/5
=(1 x 20)/(4 x 20)+(1 x 20)/(5 x 20)
step 5 Simplify the expression to have common denominator:
=5/20+4/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (5/1+4/1)
=1/20 x (5 + 4)
step 7Simplify the above expression further:
=1/20 x 9
=9/20
1/4+1/5=9/20
Hence,
1/4 plus 1/5 equals to 9/20 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/5
What to be found?
1/4+1/5 = ?
Find what's the sum of 1/4 and 1/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 5), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 5) and rewrite the equation as like the below:
= (1 x 5) + (1 x 4)/(4 x 5)
step 3 Simplify and rewrite the fraction:
= (5 + 4)/20
1/4+1/5 = 9/20
Hence,
1/4 plus 1/5 = 9/20
