Show that
$$\frac{2}{3} \times \frac{3}{4} = \frac{8}{4}$$
- Edexcel - GCSE Maths - Question 3 - 2020 - Paper 1
Question 3
Show that
$$\frac{2}{3} \times \frac{3}{4} = \frac{8}{4}$$
Worked Solution & Example Answer:Show that
$$\frac{2}{3} \times \frac{3}{4} = \frac{8}{4}$$
- Edexcel - GCSE Maths - Question 3 - 2020 - Paper 1
Step 1
Convert to Improper Fractions
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Answer
The first step is to express the fractions as improper, although in this case they are already in proper form. We express the fractions as needed, but we directly proceed to multiplication.
Step 2
Multiply the Fractions
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Answer
To multiply the fractions, use the formula:
ba×dc=b×da×c
Applying this, we have:
3×42×3=126
This simplifies to:
21
Step 3
Show Equivalent Value
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Answer
Now, we need to show that:
21=48
To do this, we can simplify (\frac{8}{4}) as follows:
48=2
This contradicts our previous result, illustrating an error in showing equivalence. Therefore, it helps to ensure mathematical operations maintain their equivalency, leading us to check the calculations accordingly, but they were correct initially and provide solid results.
