__ __ __ __ __ 1. Multiply 1/6times 3/7 and express answer as a fraction in lowest terms. 2. Divide 4/5 by 3/7 and express answer as a fraction in lowest terms. 3. How many pounds would 250 studs weigh if each weighs 43/16 pounds? Round up to the nearest pound. 4. How many 2times 10 headers can be purchased with 150 , if each is priced at 2.30 5. How many pieces of blocking, 16'' long, may be cut from a board that is 14' long?

## Step 1: Multiplying Fractions<br />### To multiply fractions, multiply the numerators together and the denominators together. Then simplify the resulting fraction to its lowest terms. $\frac{1}{6} \times \frac{3}{7} = \frac{1 \times 3}{6 \times 7} = \frac{3}{42}$. Simplifying by dividing both numerator and denominator by 3 gives $\frac{1}{14}$.<br /><br />## Step 2: Dividing Fractions<br />### To divide fractions, multiply the first fraction by the reciprocal of the second fraction. $\frac{4}{5} \div \frac{3}{7} = \frac{4}{5} \times \frac{7}{3} = \frac{4 \times 7}{5 \times 3} = \frac{28}{15}$.<br /><br />## Step 3: Calculating Total Weight<br />### Multiply the number of studs by the weight of each stud. $250 \times \frac{43}{16} = \frac{10750}{16} = 671.875$. Rounding up to the nearest pound gives 672.<br /><br />## Step 4: Calculating Number of Headers<br />### Divide the total amount of money by the price of each header. $\frac{150}{2.30} \approx 65.22$. Since you can't buy parts of a header, round down to the nearest whole number, which is 65.<br /><br />## Step 5: Calculating Number of Blocking Pieces<br />### First, convert the board length to inches: $14 \text{ feet} \times 12 \frac{\text{inches}}{\text{foot}} = 168 \text{ inches}$. Then, divide the total length in inches by the length of each blocking piece: $\frac{168}{16} = 10.5$. Since you can only cut whole pieces, the answer is 10.