Henry needs to cut a 4 2/3 foot board into 5 equal pieces. How long was each piece?
4 2/3 = 14/3
divide by 5
14/15
14/15 ft
To find the length of each piece, we need to divide the total length of the board by the number of equal pieces.
Step 1: Convert the mixed number 4 2/3 into an improper fraction.
To convert the mixed number 4 2/3 into an improper fraction, we multiply the whole number by the denominator and add the numerator. Then, we place the result over the denominator.
4 2/3 = (4 * 3 + 2) / 3 = 14/3
Step 2: Divide the total length of the board by the number of pieces.
Given that the total length of the board is 4 2/3 feet and we need to divide it into 5 equal pieces, we divide 14/3 by 5.
14/3 ÷ 5 = 14/3 * 1/5 = (14 * 1) / (3 * 5) = 14/15
Step 3: Convert the fraction back to a mixed number.
To convert the fraction 14/15 back to a mixed number, we divide the numerator by the denominator. The whole number part will be the quotient, and the remainder will be the numerator of the fractional part.
14 ÷ 15 = 0 with a remainder of 14
Therefore, each piece will be 0 14/15 feet long.