a baker has 3/4 of sack of flour if he uses 1/8 of a sack of flour for each cake he bakes.how many cakes can he bake?
Answer (1)
Answer:What you're solving for You are determining the number of cakes a baker can bake with a given amount of flour. What's given in the problem. The baker has \(\frac{3}{4}\) of a sack of flour. Each cake requires \(\frac{1}{8}\) of a sack of flour.Step-by-step explanation:How to solve Divide the total amount of flour by the amount of flour needed per cake. Step 1 . Set up the division problem. Total flour available: \(\frac{3}{4}\) sack. Flour per cake: \(\frac{1}{8}\) sack. Number of cakes = \(\frac{\text{Total\ flour}}{\text{Flour\ per\ cake}}\). \(\text{Number\ of\ cakes}=\frac{\frac{3}{4}}{\frac{1}{8}}\) Step 2 . Convert division to multiplication by inverting the divisor. Invert the divisor: \(\frac{1}{8}\) becomes \(\frac{8}{1}\). \(\text{Number\ of\ cakes}=\frac{3}{4}\times \frac{8}{1}\) Step 3 . Multiply the fractions. Multiply the numerators: \(3\times 8=24\). Multiply the denominators: \(4\times 1=4\). \(\text{Number\ of\ cakes}=\frac{24}{4}\) Step 4 . Simplify the result. Divide \(24\) by \(4\). \(\text{Number\ of\ cakes}=6\) Solution The baker can bake \(6\) cakes.
