What is 1/2 plus 9 in fraction?
1/2 plus 9 equals to 19/2 in fraction form.
Learn how to find what is 1/2 plus 9 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 9 as a fraction and decimal.
Summary: 1/2 plus 9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 2 is the LCM of 2 and 1. Multiply the LCM 2 with all the numerators and denominators of both fractions (1/2 x 2/2) + (9 x 2/2) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 19/2.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 9 by adding fraction to a whole number . The sum in fraction form for 1/2 plus 9/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+9 using LCM Method:
What is 1/2 plus 9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 9/1
What to be found?
1/2+9 = ?
Find what's the sum of 1/2 and 9.
step 2 Compare the denominators of fractions 1/2 and 9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 9 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 1/2 and 9:
The LCM of 2 and 1 is 2.
step 4 Write the fractions 1/2 and 9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+9
=(1 x 2)/(2 x 2)+(9 x 2)/(1 x 2)
step 5 Simplify the expression to have common denominator:
=1/2+18/2
step 6 Take the common values out and rewrite the above expression like the below:
=1/2 x (1/1+18/1)
=1/2 x (1 + 18)
step 7Simplify the above expression further:
=1/2 x 19
=19/2
1/2+9=19/2
Hence,
1/2 plus 9 equals to 19/2 in fraction.
1/2+9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 9/1
What to be found?
1/2+9 = ?
Find what's the sum of 1/2 and 9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (9 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 1) and rewrite the equation as like the below:
= (1 x 1) + (9 x 2)/(2 x 1)
step 3 Simplify and rewrite the fraction:
= (1 + 18)/2
1/2+9 = 19/2
Hence,
1/2 plus 9 = 19/2