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Mathematics

Grade6

Easy

Question

Identify the equations that is/are true.

$7 \div \frac{1}{4} = \frac{7}{1} \times \frac{4}{1}$
$12 \div \frac{3}{5} = \frac{12}{1} \times \frac{5}{3}$
$15 \div \frac{4}{7} = \frac{15}{1} \times \frac{7}{4}$
All the above

hint Hint:

We can multiply the reciprocal of the denominator with the numerator to find the value of the equation from the options. Use option checking method to check each and every option.

The correct answer is: All the above

We can multiply the reciprocal of the denominator with the numerator to find the value of the equation from the options.
Using option checking method to check each and every option
A) $7 divided by fraction numerator 1 over denominator 4 end fraction equals fraction numerator 7 over denominator 1 end fraction cross times fraction numerator 4 over denominator 1 end fraction$ (Reciprocal of $fraction numerator 1 over denominator 4 end fraction$ is $fraction numerator 4 over denominator 1 end fraction$ ), which is true.
B) $12 divided by fraction numerator 3 over denominator 5 end fraction equals fraction numerator 12 over denominator 1 end fraction cross times fraction numerator 5 over denominator 3 end fraction$ (Reciprocal of $fraction numerator 3 over denominator 5 end fraction$ is $fraction numerator 5 over denominator 3 end fraction$ ), which is true.
C) $15 divided by fraction numerator 4 over denominator 7 end fraction equals fraction numerator 15 over denominator 1 end fraction cross times fraction numerator 7 over denominator 4 end fraction$ (Reciprocal of $fraction numerator 4 over denominator 7 end fraction$ is $fraction numerator 7 over denominator 4 end fraction$ ), which is true.
All the above equations are true.

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