How can 7/8 be written as a product of a whole number and a unit fraction?
7 * 1/8
7/8 = 14*(1/16)
To write 7/8 as a product of a whole number and a unit fraction, you need to find a whole number that can be divided by the denominator, 8, evenly. Here's how you can do it:
1. Divide the numerator, 7, by the denominator, 8: 7 ÷ 8.
2. Since 8 cannot divide evenly into 7, we need to find a whole number that can be divided by 8. Starting from 1, we can multiply 8 by different whole numbers until we find a multiple of 8 that is close to 7.
- 1 × 8 = 8
- 2 × 8 = 16
- 3 × 8 = 24
3. Since 24 is the closest multiple of 8 to 7 without exceeding it, we can rewrite 7/8 as follows:
- 7/8 = 24/24 ÷ 8/24 = 24/24 × 1/8.
4. Now, divide both the numerator and denominator by the same value, which is 24, to simplify the fraction even further. This yields:
- 1/8.
Therefore, 7/8 can be written as a product of the whole number 1 and the unit fraction 1/8.