Convert the mixed number 24/7 to an improper fraction.

18/7. Multiply the whole part by the denominator and add the numerator: (2 × 7) + 4 = 18. Keep the same denominator. Result: 18/7.

Convert the mixed number $2 \frac{4}{7}$ to an improper fraction.

Class 6FractionsFractions

A $\frac{11}{7}$
B $\frac{18}{7}$
C $\frac{14}{7}$
D $\frac{18}{14}$

Step-by-Step Solution

Multiply the whole part by the denominator and add the numerator:

(2 \times 7) + 4 = 18

. Keep the same denominator. Result:

\frac{18}{7}

Answer: B)

\frac{18}{7}

Key idea: Mixed numbers and improper fractions

An improper fraction like 11/4 can be rewritten as a mixed number. Divide 11 by 4: 11 ÷ 4 = 2 remainder 3. So 11/4 = 2 + 3/4 = 2 3/4. Going the other way: 2

3/4 = (2 \times 4 + 3) /4 = 11/4

. Both forms name the same number — you choose the one that's easier for the situation. For arithmetic, improper fractions are usually friendlier; for everyday speech, mixed numbers are.

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Step-by-Step Solution

Key idea: Mixed numbers and improper fractions

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More Class 6 Fractions practice

Convert the mixed number $2 \frac{4}{7}$ to an improper fraction.