Question

what is $7 \times \frac{1}{4}$?
mixed number
fraction
whole number
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Explanation:

Step1: Multiply integer and fraction

To multiply an integer by a fraction, we use the rule \( a\times\frac{b}{c}=\frac{a\times b}{c} \). Here, \( a = 7 \), \( b = 1 \), and \( c = 4 \). So, \( 7\times\frac{1}{4}=\frac{7\times1}{4}=\frac{7}{4} \).

Step2: Convert improper fraction to mixed number

An improper fraction \( \frac{7}{4} \) can be converted to a mixed number by dividing the numerator by the denominator. \( 7\div4 = 1 \) with a remainder of \( 3 \). So, \( \frac{7}{4}=1\frac{3}{4} \).

Answer:

The mixed number is \( 1\frac{3}{4} \), so the first box (whole number part of mixed number) is \( 1 \), the second box (numerator of the fractional part) is \( 3 \), and the third box (denominator of the fractional part) is \( 4 \).