What is 7 3/8 divided by 7 1/4?

To solve the problem of dividing (7 \frac{3}{8}) by (7 \frac{1}{4}), first, we need to convert these mixed numbers into improper fractions.

For (7 \frac{3}{8}):

• Multiply the whole number 7 by the denominator 8: (7 \times 8 = 56)

• Add the numerator 3: (56 + 3 = 59)

• Thus, (7 \frac{3}{8} = \frac{59}{8}).

For (7 \frac{1}{4}):

• Multiply the whole number 7 by the denominator 4: (7 \times 4 = 28)

• Add the numerator 1: (28 + 1 = 29)

• Therefore, (7 \frac{1}{4} = \frac{29}{4}).

Next, we perform the division of the two improper fractions:

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\frac{59}{8} \div \frac{29}{4} = \frac{59}{8} \times \frac{4}{29} = \frac{59 \times 4}{8 \times 29} =