Final answer:
Mixed numbers can be converted to decimals by converting their fractional parts. Thus, 20 4/5 becomes 20.8, 20 7/8 becomes 20.875, 20 3/4 turns into 20.75, and 20 1/5 translates to 20.2.
Step-by-step explanation:
To match each mixed number to its equivalent decimal number, you need to convert the fractional part of each mixed number to decimal form. Here's how you do it:
- 20 \(\frac{4}{5}\) becomes 20.8 because \(\frac{4}{5}\) is equal to 0.8 when converted to a decimal.
- 20 \(\frac{7}{8}\) becomes 20.875 because \(\frac{7}{8}\) is equal to 0.875 in decimal form.
- 20 \(\frac{3}{4}\) becomes 20.75 since \(\frac{3}{4}\) equals 0.75 as a decimal.
- 20 \(\frac{1}{5}\) results in 20.2 because \(\frac{1}{5}\) translates to 0.2 in decimal.
Each mixed number has a corresponding decimal form based on the conversion of its fractional component. This is useful for various mathematical calculations and understanding the relationship between mixed numbers and decimals.