Let's solve the equation step-by-step:
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Calculate \( \frac{1}{2} \div \frac{3}{4} \):
- Dividing by a fraction means multiplying by its reciprocal. So, \[ \frac{1}{2} \div \frac{3}{4} = \frac{1}{2} \times \frac{4}{3} \]
- Now, multiply the fractions: \[ = \frac{1 \times 4}{2 \times 3} = \frac{4}{6} = \frac{2}{3} \quad \text{(after simplifying)} \]
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Write it in the required format: \[ \frac{1}{2} \div \frac{3}{4} = \frac{1}{a} \times \frac{b}{c} = \frac{d}{e} \]
- From our computation, we have \( \frac{2}{3} \) as the result.
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Finding \( a, b, c, d, e \):
- We can express \( \frac{2}{3} \) as \[ \frac{d}{e} = \frac{2}{3}. \] Therefore, we can set:
- \( d = 2 \)
- \( e = 3 \)
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Next, we need to find \( a, b, c \):
- For \( \frac{1}{a} \times \frac{b}{c} = \frac{2}{3} \):
- Choose \( a = 1 \) (as this will simplify our equation easily), then: \[ \frac{1}{a} = 1 \]
- So we are left with: \[ 1 \times \frac{b}{c} = \frac{b}{c} = \frac{2}{3} \]
- Hence, we can choose \( b = 2 \) and \( c = 3 \).
So we have:
- \( a = 1 \)
- \( b = 2 \)
- \( c = 3 \)
- \( d = 2 \)
- \( e = 3 \)
The completed values are:
a = 1
b = 2
c = 3
d = 2
e = 3