Question
__ __ __ __ __ 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?
Solution
4.1
(165 Votes)
Alexandria
Veteran ยท Tutor for 12 years
Answer
### 1.
### 2.
### 3. 672 pounds### 4. 65 headers### 5. 10 pieces
Explanation
## Step 1: Multiplying Fractions### To multiply fractions, multiply the numerators together and the denominators together. Then simplify the resulting fraction to its lowest terms.
. Simplifying by dividing both numerator and denominator by 3 gives
.## Step 2: Dividing Fractions### To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
.## Step 3: Calculating Total Weight### Multiply the number of studs by the weight of each stud.
. Rounding up to the nearest pound gives 672.## Step 4: Calculating Number of Headers### Divide the total amount of money by the price of each header.
. Since you can't buy parts of a header, round down to the nearest whole number, which is 65.## Step 5: Calculating Number of Blocking Pieces### First, convert the board length to inches:
. Then, divide the total length in inches by the length of each blocking piece:
. Since you can only cut whole pieces, the answer is 10.