Increase the following fraction by a factor of 5:
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Increase the following fraction by a factor of 5:
To solve the problem, we need to increase the fraction by a factor of 5. This involves multiplying both the numerator and denominator by 5.
Thus, when you increase the fraction by a factor of 5, the result is .
Simplify the following fraction by a factor of 4:
\( \frac{4}{8}= \)
It means to create an equivalent fraction where both the numerator and denominator are 5 times larger. Think of it as making the fraction pieces smaller but having more of them!
Scaling means proportional growth, not addition. If you just add 5 to get , you get a completely different value than !
Yes! They're equivalent fractions. You can verify this by dividing: 30 ÷ 35 = 0.857... and 6 ÷ 7 = 0.857... Both give the same decimal value.
The question asks for the scaled fraction, so is the correct answer. Simplifying would take you back to where you started!
Use cross multiplication: 6 × 35 should equal 7 × 30. Since 210 = 210, your fractions are equivalent! ✓
Same process! For factor 3: becomes . For factor 10: it becomes . Always multiply both parts by the same number!
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