Complete this table of fractions, decimals and percentages - OCR - GCSE Maths - Question 1 - 2017 - Paper 1
Question 1
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
For the first row, the fraction is 21.
Decimal: To convert the fraction, divide 1 by 2, yielding 0.5.
Percentage: Multiply by 100 to convert, giving 50%.
For the second row, the fraction is 31.
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: 10027.
For the third row, the fraction is 54.
Decimal: 4 divided by 5 equals 0.8.
Percentage: To convert this to a percentage, multiply by 100, which gives 80%.
For the fourth row, to find the percentage of 1005, we note that 1005=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 10045. Both the numerator and the denominator can be simplified by dividing them by 5, leading to:
100÷545÷5=209
Thus, the simplest form of 45% as a fraction is 209.
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: