12) 2 1/7 x 3 2/3 = 15/7 x 11/3 = 165/21 = 55/7 = 7 6/7 13) Divide. Write the answer in simplest form 3/7 divided by 2/3 = 9/14 14) 1/8 divided by 3/4 = 1/6 15) 2 1/7 divided by 3 2/3 = 45/77 Can you please check to see if I got the above answers correct? Thank you
The Correct Answer and Explanation is:
Let’s go through each problem step by step and verify your answers.
12) Multiply: 2 1/7 × 3 2/3
Step 1: Convert to improper fractions.
- 217=1572\frac{1}{7} = \frac{15}{7}271=715
- 323=1133\frac{2}{3} = \frac{11}{3}332=311
Step 2: Multiply the fractions.157×113=16521\frac{15}{7} \times \frac{11}{3} = \frac{165}{21}715×311=21165
Step 3: Simplify.
- 16521=557\frac{165}{21} = \frac{55}{7}21165=755 (dividing numerator and denominator by 3)
- Convert to mixed number: 557=767\frac{55}{7} = 7 \frac{6}{7}755=776
✅ Your answer is correct.
13) Divide: 37÷23\frac{3}{7} \div \frac{2}{3}73÷32
Step 1: Multiply by the reciprocal.37÷23=37×32=914\frac{3}{7} \div \frac{2}{3} = \frac{3}{7} \times \frac{3}{2} = \frac{9}{14}73÷32=73×23=149
✅ Your answer is correct.
14) Divide: 18÷34\frac{1}{8} \div \frac{3}{4}81÷43
Step 1: Multiply by the reciprocal.18÷34=18×43=424=16\frac{1}{8} \div \frac{3}{4} = \frac{1}{8} \times \frac{4}{3} = \frac{4}{24} = \frac{1}{6}81÷43=81×34=244=61
✅ Your answer is correct.
15) Divide: 217÷3232\frac{1}{7} \div 3\frac{2}{3}271÷332
Step 1: Convert to improper fractions.
- 217=1572\frac{1}{7} = \frac{15}{7}271=715
- 323=1133\frac{2}{3} = \frac{11}{3}332=311
Step 2: Multiply by the reciprocal.157÷113=157×311=4577\frac{15}{7} \div \frac{11}{3} = \frac{15}{7} \times \frac{3}{11} = \frac{45}{77}715÷311=715×113=7745
✅ Your answer is correct.
Conclusion:
All four of your answers are accurate. You correctly converted mixed numbers to improper fractions, used reciprocal multiplication for division, and simplified where necessary. This shows a solid understanding of fraction operations. Keep practicing to maintain accuracy and build speed.
