Question

Which of the following is equivalent to 5 4/9?

1. 5.4
2. 7.25
3. 5.49
4. 5.25

Answer 1

To convert the mixed number 5 4/9 to decimal form, we divide 4 by 9 to get approximately 0.444, and then add this to the whole number 5 to get 5.444, which is approximately 5.44 when rounded to two decimal places.

Step-by-step explanation:

To find the equivalent decimal form of 5 4/9, we need to convert the fraction 4/9 to a decimal and then add it to the whole number 5. The fraction 4/9 can be converted to a decimal by performing the division 4 ÷ 9.

When we divide 4 by 9, we get a decimal which is approximately 0.444. To combine this with the whole number 5, we simply place the decimal part (approximately 0.444) to the right of the whole number. This gives us 5.444, which can be rounded to 5.44 when considering two decimal places. So, the equivalent decimal form of 5 4/9, when rounded to two decimal places, is 5.44.

Thus, the correct answer from the given choices is 5.44, which would be answer option (1).