SOLUTION: how to you solve this problem: 2 2/3 divided by 1 3/5 equals what? You are given: {{{(2+2/3)}}}÷{{{(1+3/5)}}}. Rewrite in Vertical format: {{{(2+2/3)/(1+3/5)}}}. Mul

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: how to you solve this problem: 2 2/3 divided by 1 3/5 equals what? You are given: {{{(2+2/3)}}}÷{{{(1+3/5)}}}. Rewrite in Vertical format: {{{(2+2/3)/(1+3/5)}}}. Mul      Log On


   

Question 687163: how to you solve this problem: 2 2/3 divided by 1 3/5 equals what?
You are given:
%282%2B2%2F3%29÷%281%2B3%2F5%29.

Rewrite in Vertical format:
%282%2B2%2F3%29%2F%281%2B3%2F5%29.

Multiply the numerator and denominator of the large fraction by the LCM (15) of denominators (3 and 5) of the mixed numbers:
%282%2B2%2F3%29%2F%281%2B3%2F5%29%2A+15%2F15

Use the distributive property a+%28b%2Bc%29=ab+%2B+ac to expand the fraction. You should end up with the following afterward:
%2830%2B10%29%2F%2815%2B9%29

Add:
40%2F24

Express the result as a mixed number by doing the following:
Rewrite the fraction in the following form
%28a%2Bb%29%2Fa

%2824%2B16%29%2F24
Use the fraction rule %28a%2Bb%29%2Fc+=+a%2Fc+%2B+b%2F+c to express the fraction as a sum of two fractions
24%2F24%2B16%2F24
Simplify to express the result as a Mixed fraction:
1%2B2%2F3
Found 2 solutions by rfer, bwpbruce:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
(8/3)/(8/5)=
8/3*5/8=40/24=1 2/3

Answer by bwpbruce(7) About Me  (Show Source):