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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) 9/10 (ii) 3/4 (b) A plank of wood 2.4m long is cut into 6 pieces of equal length. How long is each piece?

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

Step 1

(a)(i) Write 9/10 as a decimal.

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Answer

To convert the fraction $rac{9}{10}$ to a decimal, we can perform the division:

ightarrow 9.0$$ $$10 ightarrow 10.0$$ Thus, $ rac{9}{10} = 0.9$.

Step 2

(a)(ii) Write 3/4 as a decimal.

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Answer

Similarly, to convert the fraction $rac{3}{4}$ to a decimal, we perform the division:

ightarrow 3.0$$ $$4 ightarrow 4.0$$ Thus, $ rac{3}{4} = 0.75$.

Step 3

(b) How long is each piece?

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Answer

To find the length of each piece of wood, we need to divide the total length by the number of pieces:

$ext{Total Length} = 2.4 ext{m}$ $ext{Number of Pieces} = 6$

Thus, the length of each piece is:

$ext{Length of each piece} = rac{2.4}{6} = 0.4 ext{m}$

Alternatively, this can be expressed as 40 cm.

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