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Write the mixed fraction $ 7 \frac{3}{40} $ as a decimal number.
Given:
Given mixed fraction is \( 7 \frac{3}{40} \).
To do:
We have to convert \( 7 \frac{3}{40} \) into a decimal number.
Solution:
To convert a mixed fraction to a decimal first convert it to an improper fraction.
To convert a mixed fraction to an improper fraction, follow these steps:
1. Multiply the whole number part by the fraction's denominator.
2. Add the result to the numerator.
3. Then write the result on top of the denominator keeping denominator unchanged.
Therefore,
$7\frac{3}{40}=\frac{40\times7+3}{40}$
$=\frac{280+3}{40}$
$=\frac{283}{40}$
To convert a Fraction to a Decimal, follow these steps:
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10 or a multiple of 10.
Step 2: Multiply both top and bottom by that number.
Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right-hand side for every zero in the bottom number).
Therefore,
$\frac{283}{40}=\frac{283\times25}{40\times25}$
$=\frac{7075}{1000}$
$=7.075$
\( 7 \frac{3}{40} \) as a decimal number is $7.075$.
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