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Complete this table of fractions, decimals and percentages - OCR - GCSE Maths - Question 1 - 2017 - Paper 1

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Complete this table of fractions, decimals and percentages. | Fraction | Decimal | Percentage | |----------|---------|------------| | 1/2 | = 0.5 | = 50% ... show full transcript

Worked Solution & Example Answer:Complete this table of fractions, decimals and percentages - OCR - GCSE Maths - Question 1 - 2017 - Paper 1

Step 1

Complete this table of fractions, decimals and percentages.

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Answer

  1. For the first row, the fraction is 12\frac{1}{2}.

    • Decimal: To convert the fraction, divide 1 by 2, yielding 0.5.
    • Percentage: Multiply by 100 to convert, giving 50%.
  2. For the second row, the fraction is 13\frac{1}{3}.

    • Decimal: This approximates to 0.27.
    • Percentage: To find the percentage, multiply 0.27 by 100, resulting in approximately 27%. Since we can express this as a fraction: 27100\frac{27}{100}.
  3. For the third row, the fraction is 45\frac{4}{5}.

    • Decimal: 4 divided by 5 equals 0.8.
    • Percentage: To convert this to a percentage, multiply by 100, which gives 80%.
  4. For the fourth row, to find the percentage of 5100\frac{5}{100}, we note that 5100=0.05\frac{5}{100} = 0.05 in decimal, which equals 5%.

Step 2

Write 45% as a fraction in its simplest form.

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Answer

To express 45% as a fraction, we write it as 45100\frac{45}{100}. Both the numerator and the denominator can be simplified by dividing them by 5, leading to:

45÷5100÷5=920\frac{45 \div 5}{100 \div 5} = \frac{9}{20}

Thus, the simplest form of 45% as a fraction is 920\frac{9}{20}.

Step 3

What fraction of the money does Alan receive?

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Answer

Alan and Brian share the money in the ratio 1:4. This implies that for every 5 parts (1 part for Alan + 4 parts for Brian), Alan receives 1 part. Therefore, the fraction of the total amount that Alan receives is:

11+4=15\frac{1}{1 + 4} = \frac{1}{5}

Thus, Alan receives 15\frac{1}{5} of the money.

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