Determining Increases or Decreases When Multiplying by Fractions(TEKS.Math.6.3.B)
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Texas 6th Grade Math › Determining Increases or Decreases When Multiplying by Fractions(TEKS.Math.6.3.B)
A recipe calls for 3 cups of flour. If you make $\frac{5}{4}$ of the recipe, do you need more or less than 3 cups of flour?
Less than 3 cups
Exactly 3 cups
Not enough information
More than 3 cups
Explanation
$\frac{5}{4}>1$, so multiplying 3 by a number greater than 1 increases the amount.
A store changes a price by multiplying it. Option 1 multiplies by $\frac{4}{5}$ and Option 2 multiplies by $\frac{6}{5}$. Which option increases the original price?
Multiply by $\frac{4}{5}$
Both options increase the price
Neither; both decrease the price
Multiply by $\frac{6}{5}$
Explanation
$\frac{6}{5}>1$ increases the price, while $\frac{4}{5}<1$ decreases it.