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1 (a) Calculate - OCR - GCSE Maths - Question 1 - 2018 - Paper 1

Question 1

1 (a) Calculate. $$\frac{3}{5} + \frac{5}{8}$$ Give your answer as a mixed number in its simplest form. (a) ......................................................... show full transcript

Worked Solution & Example Answer:1 (a) Calculate - OCR - GCSE Maths - Question 1 - 2018 - Paper 1

Step 1

Calculate the Fractions

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Answer

To add the fractions $\frac{3}{5}$ and $\frac{5}{8}$ , we first need a common denominator. The least common multiple (LCM) of 5 and 8 is 40.

Convert the fractions:

$\frac{3}{5} = \frac{3 \times 8}{5 \times 8} = \frac{24}{40}$

$\frac{5}{8} = \frac{5 \times 5}{8 \times 5} = \frac{25}{40}$

Step 2

Add the Equivalent Fractions

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Answer

Now add the two fractions:

$\frac{24}{40} + \frac{25}{40} = \frac{24 + 25}{40} = \frac{49}{40}$

Step 3

Convert to Mixed Number

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Answer

The fraction $\frac{49}{40}$ can be expressed as a mixed number.

To convert it, divide 49 by 40 which equals 1 with a remainder of 9:

Thus,

$\frac{49}{40} = 1 \frac{9}{40}$

In simplest form, the final answer is:

1 \frac{9}{40}

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