To convert the mixed number 42 25 into a fraction, we start by breaking it down into its components. The whole number is 42 and the fraction is 25. To express this as a single fraction, we can follow these steps:
- First, convert the whole number into a fraction. We know that 42 can be expressed as 42/1.
- Next, to add the fractional part (25), we convert it to have the same denominator as the whole number. This means we should express 42 as a fraction with a denominator of 25. We do this by multiplying both the numerator and the denominator of 42/1 by 25:
- 42 × 25 = 1050
- 1 × 25 = 25
- Now, we have: 42 = 1050/25.
- Next, we add the fraction 25 (which is 25/1 or 625/25 when converted to the required denominator):
- 25 = 625/25
- Thus, we add the two fractions together:
- 1050/25 + 625/25 = (1050 + 625)/25 = 1675/25.
Therefore, the mixed number 42 25 can be expressed as the improper fraction 1675/25.