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Work out. $$\frac{3}{7} \times \frac{4}{10}$$ Give your answer as a mixed number in its simplest form. - OCR - GCSE Maths - Question 1 - 2021 - Paper 1

Question 1

$Work-out.-$$\frac{3}{7}-\times-\frac{4}{10}$$--Give-your-answer-as-a-mixed-number-in-its-simplest-form.-OCR-GCSE Maths-Question 1-2021-Paper 1.png$

Work out. $$\frac{3}{7} \times \frac{4}{10}$$ Give your answer as a mixed number in its simplest form.

Worked Solution & Example Answer:Work out. $$\frac{3}{7} \times \frac{4}{10}$$ Give your answer as a mixed number in its simplest form. - OCR - GCSE Maths - Question 1 - 2021 - Paper 1

Step 1

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Answer

To multiply the fractions, we use the formula:

$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$

Applying this to our fractions:

$\frac{3}{7} \times \frac{4}{10} = \frac{3 \times 4}{7 \times 10} = \frac{12}{70}$

Step 2

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Answer

Now we will simplify the fraction. The greatest common divisor (GCD) of 12 and 70 is 2.

Dividing both the numerator and the denominator by 2 gives us:

$\frac{12 \div 2}{70 \div 2} = \frac{6}{35}$

Step 3

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Answer

Since 6 is less than 35, it cannot be converted further into a mixed number. Therefore, the result:

$\frac{6}{35}$

is already in its simplest form.

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