Solve the problem and reduce to lowest terms? 2/3+1/6+11/12=
2/3+1/6+11/12=
First you need to change these fractions to equivalent fractions with a common denominator.
If you post the equivalent fractions, we'll be glad to help you solve this problem.
(2/3)=(2*4)(3*4)=(8/12)
(1/6)=(2*1)/(2*6)=(2/12)
2/3+1/6+11/12=
=(8/12)+(2/12)+(11/12)
=(21/12)
=(12+9)/12
=(12/12)+(9/12)
=1+(3*3)/(3*4)
= 1 3/4
=(4/4)+(3/4)
=7/4
6 ⅚ – 17/18
To solve the problem and reduce the expression to lowest terms, you need to find a common denominator and add the fractions together. Here's how you can do it step by step:
Step 1: Find the least common multiple (LCM) of the denominators (3, 6, and 12) which is 12.
Step 2: Rewrite each fraction with the common denominator of 12:
2/3 = (2/3) * (4/4) = 8/12
1/6 = (1/6) * (2/2) = 2/12
11/12 = (11/12) * (1/1) = 11/12
Step 3: Add the fractions together:
8/12 + 2/12 + 11/12 = (8 + 2 + 11)/12 = 21/12
Step 4: Reduce the fraction to lowest terms. To do this, find the greatest common divisor (GCD) of the numerator and denominator, which is 3 in this case:
21 ÷ 3 / 12 ÷ 3 = 7/4
Therefore, the simplified and reduced form of 2/3 + 1/6 + 11/12 is 7/4.