SOLUTION: You are given: {{{(3+3/5)}}}÷{{{(2+1/2)}}}. Rewrite in Vertical format: {{{(3+3/5)/(2+1/2)}}}. Multiply the numerator and denominator of the large fraction by the LCM (

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: You are given: {{{(3+3/5)}}}÷{{{(2+1/2)}}}. Rewrite in Vertical format: {{{(3+3/5)/(2+1/2)}}}. Multiply the numerator and denominator of the large fraction by the LCM (      Log On


   

Question 7214: You are given:
%283%2B3%2F5%29÷%282%2B1%2F2%29.

Rewrite in Vertical format:
%283%2B3%2F5%29%2F%282%2B1%2F2%29.

Multiply the numerator and denominator of the large fraction by the LCM (10) of denominators (2 and 5) of the mixed numbers:
%283%2B3%2F5%29%2F%282%2Bl%2F2%29%2A+10%2F10

Use the distributive property a+%28b%2Bc%29=ab+%2B+ac to expand the fraction. You should end up with the following afterward:
%2830%2B6%29%2F%2820%2B5%29

Add:
36%2F25

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

%2825%2B11%29%2F25
Use the fraction rule %28a%2Bb%29%2Fc+=+a%2Fc+%2B+b%2F+c to express the fraction as a sum of two fractions
25%2F25%2B11%2F25
Simplify to express the result as a Mixed fraction:
1%2B11%2F25
Found 2 solutions by mathwhiz, bwpbruce:
Answer by mathwhiz(13) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1: Change them first to improper fractions.
3 3/5 = 18/5
2 1/2 = 5/2
Step 2: Then find their LCM and convert them.
18/5 = 36/10
5/2 = 25/10
Step 3: Find the reciprocal of 25/10.
reciprocal of 25/10 = 10/25
Step 4: Multiply the two fractions.
36/10 * 10/25 = 360/250
Step 5: Reduce it to lowest terms
360/250 = 36/25 or 1 11/25

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