LUMBER Mrs. Shin has a piece of lumber that is 11 5−8 inches wide. She plans to split the width of lumber into 3 equal pieces. How wide will each piece be?
To find the width of each piece, we need to divide the total width of the lumber by the number of pieces it will be split into.
The total width of the lumber is 11 5/8 inches.
To divide it into 3 equal pieces, we will need to perform the following calculation:
11 5/8 ÷ 3
To simplify the division, we can convert the mixed number (11 5/8) into an improper fraction.
11 5/8 = (8 * 11 + 5) / 8 = 93/8
Now we can divide the improper fraction by 3:
(93/8) ÷ 3 = 93/8 × 1/3
To multiply fractions, we multiply the numerators and multiply the denominators:
93/8 × 1/3 = 93 × 1 / 8 × 3 = 93/24
To simplify the fraction, we can reduce it to its lowest terms:
93/24 = (3 * 31) / (3 * 8) = 31/8
Therefore, each piece of lumber will be 31/8 inches wide.
To find out how wide each piece of lumber will be, we need to divide the total width of the lumber by the number of equal pieces it will be split into.
In this case, the width of the lumber is 11 5/8 inches, and it will be split into 3 equal pieces.
To divide a mixed number like 11 5/8 by a whole number like 3, we need to convert the mixed number to an improper fraction.
To convert 11 5/8 to an improper fraction, we multiply the whole number (11) by the denominator (8) and add the numerator (5). This gives us a numerator of 93.
The denominator remains the same, so the improper fraction is 93/8.
Now, we can divide 93/8 by 3 to find the width of each piece.
To divide a fraction by a whole number, we multiply the numerator by the reciprocal of the divisor (in this case, 3).
So, we have (93/8) * (1/3).
Multiplying the numerators gives us 93 * 1 = 93.
Multiplying the denominators gives us 8 * 3 = 24.
Therefore, the width of each piece will be 93/24 inches.
However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3.
Dividing 93 by 3 gives us 31, and dividing 24 by 3 gives us 8.
So, the simplified fraction is 31/8.
Therefore, each piece of lumber will be 31/8 inches wide.
11 5/8 = 93/8
1/3 of 93/8 is ?