Question

A piece of fabric is 1/3 yard by 3 5/8 yards. Irma solves 1/3 3 5/8 to find the area of the fabric in square yards. What is the calculation written out.

Answer 1

first off, the area will be the product of the length and width, in this case 1/3 and 3 and 5/8.

now, let's convert the mixed fraction to "improper", and then get that product,


`\bf \stackrel{mixed}{3(5)/(8)}\implies \cfrac{3\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{29}{8}} \\\\\\ \cfrac{1}{3}\cdot \cfrac{29}{8}\implies \cfrac{29}{24}\implies 1(5)/(24)`