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Convert the mixed fraction to an improper fraction.

May 9, 2026Mathematics

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Answer

10.5

4 steps

Here's how to solve question c):

c) $12\frac{1}{2} - h = 2$

Convert the mixed fraction to an improper fraction.
$12\frac{1}{2} = \frac{12 \times 2 + 1}{2} = \frac{24 + 1}{2} = \frac{25}{2}$
The equation becomes:
$\frac{25}{2} - h = 2$
Isolate $h$ by moving the constant terms.
Subtract $\frac{25}{2}$ from both sides:
$-h = 2 - \frac{25}{2}$
Perform the subtraction on the right side.
$-h = \frac{2 \times 2}{2} - \frac{25}{2}$ $-h = \frac{4}{2} - \frac{25}{2}$ $-h = \frac{4 - 25}{2}$ $-h = \frac{-21}{2}$
Multiply both sides by -1 to solve for $h$ .
$h = \frac{21}{2}$ $h = 10.5$
The value of $h$ is $\boxed{10.5}$ .

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