3/5 plus 1/8 as a fraction

3/5 + 1/8 as a fraction provides the detailed information about what is 3/5 plus 1/8 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
3/5+1/8 equals to
3/5 + 1/8 = (?)
3/5 + 1/8 = [(3 x 8) + (1 x 5)]/(5 x 8)
= (24 + 5)/40
= 29/40
3/5 + 1/8 = 29/40
3/5 plus 1/8 is equal to 29/40
where
3/5 is a fraction as an addend,
1/8 is a fraction as an addend,
29/40 is the sum of 3/5 and 1/8.
3/5 plus 1/8 as a decimal
3/5 + 1/8 = 29/40
29/40 = 0.725
3/5+1/8 as a decimal is 0.725
where
0.725 is the sum of 3/5 and 1/8.
How-to: 3/5 + 1/8 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 3/5 plus 1/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 1/8
What to be found?
3/5+1/8 = ?
Find what's the sum of 3/5 and 1/8.
step 2 Compare the denominators of fractions 3/5 and 1/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/5 and 1/8 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 3/5 and 1/8:
The LCM of 5 and 8 is 40.
step 4 Write the fractions 3/5 and 1/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/5+1/8
=(3 x 40)/(5 x 40)+(1 x 40)/(8 x 40)
step 5 Simplify the expression to have common denominator:
=24/40+5/40
step 6 Take the common values out and rewrite the above expression like the below:
=1/40 x (24/1+5/1)
=1/40 x (24 + 5)
step 7Simplify the above expression further:
=1/40 x 29
=29/40
3/5+1/8=29/40
Hence,
3/5 plus 1/8 equals to 29/40 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 1/8
What to be found?
3/5+1/8 = ?
Find what's the sum of 3/5 and 1/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 8), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 8) and rewrite the equation as like the below:
= (3 x 8) + (1 x 5)/(5 x 8)
step 3 Simplify and rewrite the fraction:
= (24 + 5)/40
3/5+1/8 = 29/40
Hence,
3/5 plus 1/8 = 29/40
