9/10 plus 3/5 as a fraction
9/10 + 3/5 as a fraction provides the detailed information about what is 9/10 plus 3/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
9/10+3/5 equals to
9/10 + 3/5 = (?)
9/10 + 3/5 = [(9 x 5) + (3 x 10)]/(10 x 5)
= (45 + 30)/50
= 75/50
= (25 x 3)/(25 x 2)
= 3/2
9/10 + 3/5 = 3/2
9/10 plus 3/5 is equal to 3/2
where
9/10 is a fraction as an addend,
3/5 is a fraction as an addend,
3/2 is the sum of 9/10 and 3/5.
9/10 plus 3/5 as a decimal
9/10 + 3/5 = 3/2
3/2 = 1.5
9/10+3/5 as a decimal is 1.5
where
1.5 is the sum of 9/10 and 3/5.
How-to: 9/10 + 3/5 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 9/10 plus 3/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/10
Fraction B: 3/5
What to be found?
9/10+3/5 = ?
Find what's the sum of 9/10 and 3/5.
step 2 Compare the denominators of fractions 9/10 and 3/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/10 and 3/5 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 9/10 and 3/5:
The LCM of 10 and 5 is 10.
step 4 Write the fractions 9/10 and 3/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/10+3/5
=(9 x 10)/(10 x 10)+(3 x 10)/(5 x 10)
step 5 Simplify the expression to have common denominator:
=9/10+6/10
step 6 Take the common values out and rewrite the above expression like the below:
=1/10 x (9/1+6/1)
=1/10 x (9 + 6)
step 7Simplify the above expression further:
=1/10 x 15
= 15/10
=3/2
9/10+3/5=3/2
Hence,
9/10 plus 3/5 equals to 3/2 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/10
Fraction B: 3/5
What to be found?
9/10+3/5 = ?
Find what's the sum of 9/10 and 3/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 5), find the product of numerator of Fraction B and denominator of Fraction A (3 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 5) and rewrite the equation as like the below:
= (9 x 5) + (3 x 10)/(10 x 5)
step 3 Simplify and rewrite the fraction:
= (45 + 30)/50
= 75/50
= 3/2
9/10+3/5 = 3/2
Hence,
9/10 plus 3/5 = 3/2
