Converting -35.45 to a Mixed Number

To convert -35.45 into a mixed number, follow these steps:

1. Separate the whole number from the decimal: The whole number part is -35, and the decimal part is 0.45.
2. Convert the decimal to a fraction: To convert 0.45 to a fraction, recognize that 0.45 can be expressed as 45/100. We can simplify this fraction:

• Find the greatest common divisor (GCD) of 45 and 100, which is 5.

• Now, divide both the numerator and the denominator by 5:

• 45 ÷ 5 = 9 and 100 ÷ 5 = 20. Therefore, 0.45 = -9/20.

3. Combine the whole number and the fraction: Now we can combine the whole number and the fraction:

• -35.45 as a mixed number is -35 9/20.

Thus, the final answer is -35 9/20.