Math Problem Statement

Answer all questions with solutions

Solution

Let's solve all the questions visible in the image you provided.

Part A: Round the fractions to two decimal places and round to the nearest hundredth.

  1. 78\frac{7}{8}

    • Decimal: 78=0.875\frac{7}{8} = 0.875
    • Rounded to nearest hundredth: 0.880.88
  2. 1320\frac{13}{20}

    • Decimal: 1320=0.65\frac{13}{20} = 0.65
    • Rounded to nearest hundredth: 0.650.65 (already rounded)
  3. 911\frac{9}{11}

    • Decimal: 9110.8181\frac{9}{11} \approx 0.8181
    • Rounded to nearest hundredth: 0.820.82
  4. 1516\frac{15}{16}

    • Decimal: 1516=0.9375\frac{15}{16} = 0.9375
    • Rounded to nearest hundredth: 0.940.94
  5. 2531\frac{25}{31}

    • Decimal: 25310.80645\frac{25}{31} \approx 0.80645
    • Rounded to nearest hundredth: 0.810.81

Part B: Change the following decimals to fractions, percentages, or simplest form.

  1. 0.7

    • Fraction: 0.7=7100.7 = \frac{7}{10}
    • Percentage: 0.7×100%=70%0.7 \times 100\% = 70\%
  2. 0.08

    • Fraction: 0.08=8100=2250.08 = \frac{8}{100} = \frac{2}{25}
    • Percentage: 0.08×100%=8%0.08 \times 100\% = 8\%
  3. 0.125

    • Fraction: 0.125=1251000=180.125 = \frac{125}{1000} = \frac{1}{8}
    • Percentage: 0.125×100%=12.5%0.125 \times 100\% = 12.5\%
  4. 0.625

    • Fraction: 0.625=6251000=580.625 = \frac{625}{1000} = \frac{5}{8}
    • Percentage: 0.625×100%=62.5%0.625 \times 100\% = 62.5\%
  5. 0.125

    • Fraction: 0.125=1251000=180.125 = \frac{125}{1000} = \frac{1}{8}
    • Percentage: 0.125×100%=12.5%0.125 \times 100\% = 12.5\%
  6. 12.55

    • Fraction: 12.55=1255100=2512012.55 = \frac{1255}{100} = \frac{251}{20}
    • Percentage: 12.55×100%=1255%12.55 \times 100\% = 1255\%

Part C: Change the following fractions to percent.

  1. 16\frac{1}{6}

    • Percentage: 16×100%=16.67%\frac{1}{6} \times 100\% = 16.67\%
  2. 23\frac{2}{3}

    • Percentage: 23×100%=66.67%\frac{2}{3} \times 100\% = 66.67\%
  3. 18\frac{1}{8}

    • Percentage: 18×100%=12.5%\frac{1}{8} \times 100\% = 12.5\%
  4. 78\frac{7}{8}

    • Percentage: 78×100%=87.5%\frac{7}{8} \times 100\% = 87.5\%
  5. 1517\frac{15}{17}

    • Percentage: 1517×100%88.24%\frac{15}{17} \times 100\% \approx 88.24\%
  6. 2142\frac{1}{4}

    • Mixed Fraction Conversion: Convert the mixed number to an improper fraction: 214=942\frac{1}{4} = \frac{9}{4}.
    • Percentage: 94×100%=225%\frac{9}{4} \times 100\% = 225\%

Would you like more detailed explanations on any of these problems, or do you have any further questions?

Related Questions:

  1. How do you convert a repeating decimal to a fraction?
  2. What is the percentage increase or decrease formula?
  3. Can you explain how to simplify fractions?
  4. How do you convert fractions to decimals?
  5. What are some common percentages and their fractional equivalents?
  6. How do you find the percent of a number?
  7. How do you solve problems involving percentage increase or decrease?
  8. What is the difference between a mixed number and an improper fraction?

Tip: Practice converting between decimals, fractions, and percentages frequently, as these are fundamental concepts in mathematics.

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Math Problem Analysis

Mathematical Concepts

Decimals
Fractions
Percentages
Mixed Numbers

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8