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13 (a) Calculate - OCR - GCSE Maths - Question 13 - 2018 - Paper 1
Question 13
13 (a) Calculate. \( \frac{3}{5} + \frac{5}{8} \) Give your answer as a mixed number in its simplest form. (b) Work out. \( 5 \times 10^4 - 1.6 \times 10^3 \) G... show full transcript
Worked Solution & Example Answer:13 (a) Calculate - OCR - GCSE Maths - Question 13 - 2018 - Paper 1
Step 1
Calculate. \( \frac{3}{5} + \frac{5}{8} \)
Answer
To calculate ( \frac{3}{5} + \frac{5}{8} ), we need a common denominator. The least common multiple of 5 and 8 is 40.
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Convert ( \frac{3}{5} ): ( \frac{3 \times 8}{5 \times 8} = \frac{24}{40} )
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Convert ( \frac{5}{8} ): ( \frac{5 \times 5}{8 \times 5} = \frac{25}{40} )
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Add the two fractions: ( \frac{24}{40} + \frac{25}{40} = \frac{49}{40} )
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This can be expressed as a mixed number: ( 1 \frac{9}{40} ). Therefore, the answer is ( 1 \frac{9}{40} ).
Step 2
Work out. \( 5 \times 10^4 - 1.6 \times 10^3 \)
Answer
To solve ( 5 \times 10^4 - 1.6 \times 10^3 ), we convert ( 1.6 \times 10^3 ) into a compatible form with ( 10^4 ):
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Convert ( 1.6 \times 10^3 ) to ( 0.16 \times 10^4 ).
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Now, subtract: ( 5 \times 10^4 - 0.16 \times 10^4 = 4.84 \times 10^4 ).
Thus, the answer in standard form is ( 4.84 \times 10^4 ).