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Work out. $$ rac{3}{ ext{√}64} imes igg( rac{1}{2}igg)^2$$ - OCR - GCSE Maths - Question 11 - 2023 - Paper 2

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Work-out.-$$-rac{3}{-ext{√}64}--imes-igg(-rac{1}{2}igg)^2$$-OCR-GCSE Maths-Question 11-2023-Paper 2.png

Work out. $$ rac{3}{ ext{√}64} imes igg( rac{1}{2}igg)^2$$

Worked Solution & Example Answer:Work out. $$ rac{3}{ ext{√}64} imes igg( rac{1}{2}igg)^2$$ - OCR - GCSE Maths - Question 11 - 2023 - Paper 2

Step 1

Step 1: Calculate $ ext{√}64$

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Answer

The square root of 64 is 8. Thus, we have:
rac{3}{8} \times \bigg(\frac{1}{2}\bigg)^2

Step 2

Step 2: Calculate $igg(\frac{1}{2}\bigg)^2$

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Answer

Squaring rac{1}{2} gives us rac{1}{4}. Therefore, our expression now looks like:
38×14\frac{3}{8} \times \frac{1}{4}

Step 3

Step 3: Multiply the fractions

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Answer

Now we can multiply the fractions:
3×18×4=332\frac{3 \times 1}{8 \times 4} = \frac{3}{32}

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