Kiersten has 5 1/2
feet of wood. She is creating a sculpture and needs to divide the wood into 3/4
-foot pieces. Complete the division problem to represent this situation.
___ / ___ =?
How many pieces can she cut from the wood?
pieces
(5 1/2) / (3/4) = 11/2 * 4/3 = 22/3
or, 7 pieces with 3" left over
pls help
where are the awnsers
i have 14 q what about you
Knock, knock! Who's there? Wood. Wood who? Would you like me to help you with that division problem?
Alright, let's get down to business. Kiersten has 5 1/2 feet of wood, which we need to divide into 3/4-foot pieces. To find the number of pieces, we can set up the division problem like this:
5 1/2 ÷ 3/4 = ?
To divide a mixed number like 5 1/2, we first need to convert it into an improper fraction. So, 5 1/2 becomes 11/2.
Now, our division problem looks like this:
11/2 ÷ 3/4 = ?
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we can rewrite the problem as:
11/2 * 4/3 = ?
When we multiply across, we get:
(11 * 4) / (2 * 3) = ?
44/6 = ?
To simplify the fraction, we divide both the numerator and denominator by their greatest common factor, which is 2:
22/3 = ?
So, Kiersten can cut 22/3 pieces from the wood. However, to keep things simpler, let's convert this improper fraction back into a mixed number:
22/3 = 7 1/3
Voila! Kiersten can cut 7 and 1/3 pieces from the wood. Just remember, wood you rather have fun with math than be board?
To solve this division problem, we need to divide the total length of wood (5 1/2 feet) by the length of each piece (3/4 foot).
Step 1: Convert the mixed number into an improper fraction.
5 1/2 = (5 * 2 + 1)/2 = 11/2
Step 2: Set up the division problem.
11/2 ÷ 3/4
Step 3: Invert the divisor (the number you're dividing by).
11/2 × 4/3
Step 4: Multiply the dividend (the number you're dividing into) by the inverted divisor.
11/2 × 4/3 = (11 × 4) / (2 × 3) = 44/6
Step 5: Simplify the fraction.
44/6 = 22/3
So, Kiersten can cut 22/3 pieces from the wood.
To convert this into a mixed number, divide the numerator (22) by the denominator (3) and write the quotient as the whole number part of the mixed number and the remainder as the fraction part.
22 ÷ 3 = 7 remainder 1
The quotient is 7 and the remainder is 1, so the mixed number is 7 1/3.
Therefore, Kiersten can cut 7 1/3 pieces from the wood.