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 the table with fractions, decimals, and percentages.
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Answer
For the fraction rac{1}{2}, the decimal equivalent is 0.5, which corresponds to 50%.
For the fraction rac{1}{3}, the decimal is approximately 0.27; the percentage is thus rac{1}{3} imes 100 = 33.33\%.
For the fraction rac{4}{5}, the decimal is 0.8; hence the percentage is 0.8imes100=80%.
For the fraction rac{5}{100}, the decimal is 0.05, representing 5%.
Step 2
Write 45% as a fraction in its simplest form.
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Answer
To convert 45% to a fraction, write it as rac{45}{100}.
Now simplify by dividing both the numerator and the denominator by 5, which gives:
rac{45 \div 5}{100 \div 5} = \frac{9}{20}. Therefore, 45% is rac{9}{20} in its simplest form.
Step 3
What fraction of the money does Alan receive?
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Answer
In the ratio of 1:4, Alan's share is represented as 1 part of the total 5 parts (1 + 4). Thus, Alan receives the fraction:
1+41=51.
