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Simplify \(\frac{14}{15} \div \frac{7}{30}\).

Answer :

To simplify the division between fractions, follow this steps:

Step 1. Turn the second fraction (the one that is dividing the first fraction) upside down:

[tex]\frac{7}{30}\rightarrow\frac{30}{7}[/tex]

Step 2. Multiply the first fraction by the one obtained in the first step:

[tex]\frac{14}{15}\cdot\frac{30}{7}=\frac{14\cdot30}{15\cdot7}=\frac{420}{105}[/tex]

Step 3. Simplify:

[tex]\frac{420}{105}=4[/tex]

The answer is 4.

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