To add the mixed number \( 7 \frac{3}{4} \) and the fraction \( \frac{3}{5} \), we first convert the mixed number into an improper fraction.
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Convert \( 7 \frac{3}{4} \) to an improper fraction: \[ 7 \frac{3}{4} = \frac{7 \times 4 + 3}{4} = \frac{28 + 3}{4} = \frac{31}{4} \]
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Next, we need to add \( \frac{31}{4} \) and \( \frac{3}{5} \). To do this, we find a common denominator. The least common multiple of 4 and 5 is 20.
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Convert both fractions to have the common denominator of 20:
- For \( \frac{31}{4} \): \[ \frac{31}{4} \times \frac{5}{5} = \frac{155}{20} \]
- For \( \frac{3}{5} \): \[ \frac{3}{5} \times \frac{4}{4} = \frac{12}{20} \]
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Now, we can add the two fractions: \[ \frac{155}{20} + \frac{12}{20} = \frac{155 + 12}{20} = \frac{167}{20} \]
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To convert \( \frac{167}{20} \) back into a mixed number, divide 167 by 20:
- \( 167 \div 20 = 8 \) remainder \( 7 \).
So, \( \frac{167}{20} = 8 \frac{7}{20} \).
The answer is: Whole number: 8 Numerator: 7 Denominator: 20
Therefore, you would enter:
- Whole number: 8
- Numerator: 7
- Denominator: 20
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