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4 (a) Complete this statement by writing the missing value in the box - OCR - GCSE Maths - Question 4 - 2023 - Paper 2

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4 (a) Complete this statement by writing the missing value in the box. \( rac{17}{5} = \frac{3}{\square}\) (b) Write \(2\frac{1}{4}\) as an improper fraction. (c... show full transcript

Worked Solution & Example Answer:4 (a) Complete this statement by writing the missing value in the box - OCR - GCSE Maths - Question 4 - 2023 - Paper 2

Step 1

Complete this statement by writing the missing value in the box.

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Answer

To find the missing value, we need to cross-multiply the fractions. Using the equation:

17×=3×517 \times \square = 3 \times 5

This simplifies to:

=3×517=1517\square = \frac{3 \times 5}{17} = \frac{15}{17}

Thus, the missing value is (\frac{15}{17}).

Step 2

Write 2 1/4 as an improper fraction.

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Answer

To convert the mixed number (2 \frac{1}{4}) into an improper fraction, multiply the whole number by the denominator and add the numerator:

(2 \times 4 + 1 = 8 + 1 = 9)

Thus, the improper fraction is (\frac{9}{4}).

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