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11/7can be expressed in the form...

`11/7`can be expressed in the form

A

`7 1/4`

B

`4 1/7`

C

`1 4/7`

D

`11 1/7`

Text Solution

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The correct Answer is:
To express the fraction \( \frac{11}{7} \) in mixed fraction form, follow these steps: ### Step 1: Divide the numerator by the denominator We start with the fraction \( \frac{11}{7} \). We need to divide 11 by 7. - **Calculation**: - \( 11 \div 7 = 1 \) (This is the whole number part, or the quotient) - The remainder is calculated as \( 11 - (7 \times 1) = 11 - 7 = 4 \). ### Step 2: Write the mixed fraction Now that we have the quotient and the remainder, we can express \( \frac{11}{7} \) as a mixed fraction. - **Mixed Fraction**: - The mixed fraction is written as: \[ 1 \frac{4}{7} \] Here, 1 is the whole number part, and \( \frac{4}{7} \) is the fractional part. ### Step 3: Final expression Thus, \( \frac{11}{7} \) can be expressed as: \[ 1 \frac{4}{7} \]
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