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2 (a) Write these fractions as decimals - OCR - GCSE Maths - Question 2 - 2018 - Paper 1

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2 (a) Write these fractions as decimals. (i) \( \frac{9}{10} \) (ii) \( \frac{3}{4} \) (b) A plank of wood 2.4m long is cut into 6 pieces of equal length. How lo... show full transcript

Worked Solution & Example Answer:2 (a) Write these fractions as decimals - OCR - GCSE Maths - Question 2 - 2018 - Paper 1

Step 1

(a)(i) Write \( \frac{9}{10} \) as a decimal.

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Answer

To convert the fraction ( \frac{9}{10} ) to a decimal, divide the numerator (9) by the denominator (10):

9÷10=0.99 \div 10 = 0.9

Thus, ( \frac{9}{10} = 0.9 ).

Step 2

(a)(ii) Write \( \frac{3}{4} \) as a decimal.

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Answer

To convert the fraction ( \frac{3}{4} ) to a decimal, divide the numerator (3) by the denominator (4):

3÷4=0.753 \div 4 = 0.75

Thus, ( \frac{3}{4} = 0.75 ).

Step 3

(b) A plank of wood 2.4m long is cut into 6 pieces of equal length. How long is each piece?

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Answer

To find the length of each piece, divide the total length of the plank (2.4 m) by the number of pieces (6):

2.4 m6=0.4 m\frac{2.4 \text{ m}}{6} = 0.4 \text{ m}

Thus, each piece is 0.4 m long.

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