What is 2/3 plus 9/16 in fraction?
2/3 plus 9/16 equals to 59/48 in fraction form.
2/3 + 9/16 in fraction form
Learn how to find what is 2/3 plus 9/16 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 9/16 as a fraction and decimal.
Summary: 2/3 plus 9/16
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 9/16 having identical denominators before starting adding the fractions. Find the LCM of denominators, 48 is the LCM of 3 and 16. Multiply the LCM 48 with all the numerators and denominators of both fractions (2/3 x 48/48) + (9/16 x 48/48) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 59/48.
2/3+9/16 as a fraction
2/3 + 9/16 = (?)
2/3 + 9/16 = [(2 x 16) + (9 x 3)]/(3 x 16)
= (32 + 27)/48
= 59/48
2/3 + 9/16 = 59/48
2/3 plus 9/16 as a fraction is 59/48.
where
2/3 is a fraction as an addend,
9/16 is a fraction as an addend,
59/48 is the sum of 2/3 and 9/16.
2/3 plus 9/16 as a decimal
2/3 + 9/16 = 59/48
59/48 = 1.2292
2/3+9/16 as a decimal is 1.2292
where
1.2292 is the sum of 2/3 and 9/16.
How to find 2/3+9/16 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 9/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 9/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/3+9/16 using LCM Method:
What is 2/3 plus 9/16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 9/16
What to be found?
2/3+9/16 = ?
Find what's the sum of 2/3 and 9/16.
step 2 Compare the denominators of fractions 2/3 and 9/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 9/16 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 2/3 and 9/16:
The LCM of 3 and 16 is 48.
step 4 Write the fractions 2/3 and 9/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+9/16
=(2 x 48)/(3 x 48)+(9 x 48)/(16 x 48)
step 5 Simplify the expression to have common denominator:
=32/48+27/48
step 6 Take the common values out and rewrite the above expression like the below:
=1/48 x (32/1+27/1)
=1/48 x (32 + 27)
step 7Simplify the above expression further:
=1/48 x 59
=59/48
2/3+9/16=59/48
Hence,
2/3 plus 9/16 equals to 59/48 in fraction.
2/3+9/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 9/16
What to be found?
2/3+9/16 = ?
Find what's the sum of 2/3 and 9/16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 16), find the product of numerator of Fraction B and denominator of Fraction A (9 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 16) and rewrite the equation as like the below:
= (2 x 16) + (9 x 3)/(3 x 16)
step 3 Simplify and rewrite the fraction:
= (32 + 27)/48
2/3+9/16 = 59/48
Hence,
2/3 plus 9/16 = 59/48