Math  /  Numbers & Operations

Questione) 49÷7=\frac{4}{9} \div 7=

Studdy Solution

STEP 1

1. We are dividing a fraction by a whole number.
2. The division operation can be converted into multiplication by the reciprocal.
3. The problem is to simplify 49÷7\frac{4}{9} \div 7.

STEP 2

1. Convert the division problem into a multiplication problem.
2. Simplify the resulting expression.

STEP 3

Convert the division of a fraction by a whole number into multiplication by the reciprocal of the whole number.
49÷7=49×17\frac{4}{9} \div 7 = \frac{4}{9} \times \frac{1}{7}

STEP 4

Multiply the fractions by multiplying the numerators together and the denominators together.
49×17=4×19×7=463\frac{4}{9} \times \frac{1}{7} = \frac{4 \times 1}{9 \times 7} = \frac{4}{63}
The simplified result of 49÷7\frac{4}{9} \div 7 is:
463\boxed{\frac{4}{63}}

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