What is 2/3 plus 4/17 in fraction?
2/3 plus 4/17 equals to 46/51 in fraction form.
2/3 + 4/17 in fraction form
Learn how to find what is 2/3 plus 4/17 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 4/17 as a fraction and decimal.
Summary: 2/3 plus 4/17
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 4/17 having identical denominators before starting adding the fractions. Find the LCM of denominators, 51 is the LCM of 3 and 17. Multiply the LCM 51 with all the numerators and denominators of both fractions (2/3 x 51/51) + (4/17 x 51/51) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 46/51.
2/3+4/17 as a fraction
2/3 + 4/17 = (?)
2/3 + 4/17 = [(2 x 17) + (4 x 3)]/(3 x 17)
= (34 + 12)/51
= 46/51
2/3 + 4/17 = 46/51
2/3 plus 4/17 as a fraction is 46/51.
where
2/3 is a fraction as an addend,
4/17 is a fraction as an addend,
46/51 is the sum of 2/3 and 4/17.
2/3 plus 4/17 as a decimal
2/3 + 4/17 = 46/51
46/51 = 0.902
2/3+4/17 as a decimal is 0.902
where
0.902 is the sum of 2/3 and 4/17.
How to find 2/3+4/17 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 4/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 4/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/3+4/17 using LCM Method:
What is 2/3 plus 4/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 4/17
What to be found?
2/3+4/17 = ?
Find what's the sum of 2/3 and 4/17.
step 2 Compare the denominators of fractions 2/3 and 4/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 4/17 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 4/17:
The LCM of 3 and 17 is 51.
step 4 Write the fractions 2/3 and 4/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+4/17
=(2 x 51)/(3 x 51)+(4 x 51)/(17 x 51)
step 5 Simplify the expression to have common denominator:
=34/51+12/51
step 6 Take the common values out and rewrite the above expression like the below:
=1/51 x (34/1+12/1)
=1/51 x (34 + 12)
step 7Simplify the above expression further:
=1/51 x 46
=46/51
2/3+4/17=46/51
Hence,
2/3 plus 4/17 equals to 46/51 in fraction.
2/3+4/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 4/17
What to be found?
2/3+4/17 = ?
Find what's the sum of 2/3 and 4/17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 17), find the product of numerator of Fraction B and denominator of Fraction A (4 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 17) and rewrite the equation as like the below:
= (2 x 17) + (4 x 3)/(3 x 17)
step 3 Simplify and rewrite the fraction:
= (34 + 12)/51
2/3+4/17 = 46/51
Hence,
2/3 plus 4/17 = 46/51