To convert the mixed number 3 6/7 into an improper fraction, we first need to understand the components of the mixed number. The number consists of a whole part (3) and a fractional part (6/7).
To make the improper fraction, we multiply the whole number (3) by the denominator of the fractional part (7), and then add the numerator of the fractional part (6). This can be illustrated in the following steps:
- Multiply the whole number by the denominator: 3 × 7 = 21
- Add the numerator: 21 + 6 = 27
Now, we take this sum (27) and place it over the original denominator (7). Therefore, the improper fraction for the mixed number 3 6/7 is:
27/7
This means 3 6/7 can be expressed as the improper fraction 27/7.