What is 1/7 plus 2/15 in fraction?
1/7 plus 2/15 equals to 29/105 in fraction form.
1/7 + 2/15 in fraction form
Learn how to find what is 1/7 plus 2/15 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 2/15 as a fraction and decimal.
Summary: 1/7 plus 2/15
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/7 and 2/15 having identical denominators before starting adding the fractions. Find the LCM of denominators, 105 is the LCM of 7 and 15. Multiply the LCM 105 with all the numerators and denominators of both fractions (1/7 x 105/105) + (2/15 x 105/105) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 29/105.
1/7+2/15 as a fraction
1/7 + 2/15 = (?)
1/7 + 2/15 = [(1 x 15) + (2 x 7)]/(7 x 15)
= (15 + 14)/105
= 29/105
1/7 + 2/15 = 29/105
1/7 plus 2/15 as a fraction is 29/105.
where
1/7 is a fraction as an addend,
2/15 is a fraction as an addend,
29/105 is the sum of 1/7 and 2/15.
1/7 plus 2/15 as a decimal
1/7 + 2/15 = 29/105
29/105 = 0.2762
1/7+2/15 as a decimal is 0.2762
where
0.2762 is the sum of 1/7 and 2/15.
How to find 1/7+2/15 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 2/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 2/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/7+2/15 using LCM Method:
What is 1/7 plus 2/15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/15
What to be found?
1/7+2/15 = ?
Find what's the sum of 1/7 and 2/15.
step 2 Compare the denominators of fractions 1/7 and 2/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 and 2/15 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 1/7 and 2/15:
The LCM of 7 and 15 is 105.
step 4 Write the fractions 1/7 and 2/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/7+2/15
=(1 x 105)/(7 x 105)+(2 x 105)/(15 x 105)
step 5 Simplify the expression to have common denominator:
=15/105+14/105
step 6 Take the common values out and rewrite the above expression like the below:
=1/105 x (15/1+14/1)
=1/105 x (15 + 14)
step 7Simplify the above expression further:
=1/105 x 29
=29/105
1/7+2/15=29/105
Hence,
1/7 plus 2/15 equals to 29/105 in fraction.
1/7+2/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/15
What to be found?
1/7+2/15 = ?
Find what's the sum of 1/7 and 2/15.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 15), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 15) and rewrite the equation as like the below:
= (1 x 15) + (2 x 7)/(7 x 15)
step 3 Simplify and rewrite the fraction:
= (15 + 14)/105
1/7+2/15 = 29/105
Hence,
1/7 plus 2/15 = 29/105