7/9 plus 2/5 as a fraction
7/9 + 2/5 as a fraction provides the detailed information about what is 7/9 plus 2/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
7/9+2/5 equals to
7/9 + 2/5 = (?)
7/9 + 2/5 = [(7 x 5) + (2 x 9)]/(9 x 5)
= (35 + 18)/45
= 53/45
7/9 + 2/5 = 53/45
7/9 plus 2/5 is equal to 53/45
where
7/9 is a fraction as an addend,
2/5 is a fraction as an addend,
53/45 is the sum of 7/9 and 2/5.
7/9 plus 2/5 as a decimal
7/9 + 2/5 = 53/45
53/45 = 1.1778
7/9+2/5 as a decimal is 1.1778
where
1.1778 is the sum of 7/9 and 2/5.
How-to: 7/9 + 2/5 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 7/9 plus 2/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 2/5
What to be found?
7/9+2/5 = ?
Find what's the sum of 7/9 and 2/5.
step 2 Compare the denominators of fractions 7/9 and 2/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/9 and 2/5 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 7/9 and 2/5:
The LCM of 9 and 5 is 45.
step 4 Write the fractions 7/9 and 2/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/9+2/5
=(7 x 45)/(9 x 45)+(2 x 45)/(5 x 45)
step 5 Simplify the expression to have common denominator:
=35/45+18/45
step 6 Take the common values out and rewrite the above expression like the below:
=1/45 x (35/1+18/1)
=1/45 x (35 + 18)
step 7Simplify the above expression further:
=1/45 x 53
=53/45
7/9+2/5=53/45
Hence,
7/9 plus 2/5 equals to 53/45 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 2/5
What to be found?
7/9+2/5 = ?
Find what's the sum of 7/9 and 2/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 5) and rewrite the equation as like the below:
= (7 x 5) + (2 x 9)/(9 x 5)
step 3 Simplify and rewrite the fraction:
= (35 + 18)/45
7/9+2/5 = 53/45
Hence,
7/9 plus 2/5 = 53/45
