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convert \\(\frac{40}{7}\\) into a mixed number.
answer
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Step1: Divide 40 by 7
To convert an improper fraction to a mixed number, we divide the numerator by the denominator. So, we perform the division \(40 \div 7\).
\(7\times5 = 35\) and \(40 - 35=5\). So, the quotient is 5 and the remainder is 5.
Step2: Form the mixed number
A mixed number is written as \( \text{Quotient} \frac{\text{Remainder}}{\text{Denominator}} \). Here, the quotient is 5, the remainder is 5, and the denominator is 7. So the mixed number is \( 5\frac{5}{7} \).
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\( 5\frac{5}{7} \) (The first box is 5, the numerator of the fraction is 5, and the denominator of the fraction is 7)