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We must create a common denominator.
We have to multiply the numerator and the denominator of the second fraction by a number that will create a denominator of 10. 10/5 = 2 \[\frac {-4 \times 2}{-5 \times 2}\]
8/10
Hmm. Let's do this an easier way. Dividing a fraction is the same as multiplying by it's reciprocal. \[\frac{7}{10} \div \frac {4}{5} = \frac{7}{10} \times \frac{5}{4}\]
So let's multiply the numerators and denominators. 7 * 5 = ? 10 * 4 = ?
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35 40
Yes, so we have: \[\frac {35}{40}\]
This can be simplified. Both of these numbers are divisible by 5. \[\frac {35 \div 5}{40 \div 5} = ?\]
7 8
Yeah.
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