Question

Match each decimal on the left with an equivalent simplified mixed number on the right. 4.375 4(4)/(5) 4.8 4(9)/(25) 4.5 4(3)/(8) 4.36 4(1)/(2)

Answer 1

The decimals 4.375, 4.8, 4.5, and 4.36 convert to the simplified mixed numbers 4(3)/(8), 4(4)/(5), 4(1)/(2), and 4(9)/(25), respectively.

Step-by-step explanation:

The student is asked to match each decimal with its equivalent simplified mixed number. Here, we can convert each decimal to a mixed number:

1. 4.375 can be expressed as 4 · 375/1000, which simplifies to 4(3)/(8) because 375 divided by 1000 is 3/8 when reduced.
2. 4.8 can be expressed as 4 · 8/10, which simplifies to 4(4)/(5) because 8 divided by 10 is 4/5 when reduced.
3. 4.5 is already a mixed number and can be written as 4(1)/(2).
4. 4.36 can be expressed as 4 · 36/100, which does not simplify neatly into a mixed number with a small denominator like the others; however, 36/100 can be simplified to 9/25, so an equivalent mixed number would be 4(9)/(25).

Therefore, the matched pairs are:

• 4.375 and 4(3)/(8)
• 4.8 and 4(4)/(5)
• 4.5 and 4(1)/(2)
• 4.36 and 4(9)/(25)