Question

express 7.71 as a mixed number

Answer 1

Express 7.71 as a mixed number = 7 71/100

Answer 2

Answer:

$7.71 = 7\frac{71}{100}$  

Step-by-step explanation:

We can concentrate on the fractional part of a given number since we can always rewrite it as the whole-number part  plus the fractional part. In our case, we can do the following:

7.71 = 7 + 0.71          (1)

Now, for the fractional part, the procedure is the following:

1- We can construct a fraction with the fractional part on numerator and 1 in denominator. Like this...

$0.71 = \frac{0.71}{1}$

2- Multiply both numerator and denominator by 10. In our case, when we multiply numerator by 10, the comma moves 1 place to the right and we get 7.1. The denominator was 1 in the previous step times 10, it will be 1.10 = 10.    

$0.71 = \frac{0.71}{1} = \frac{7.1}{10}$

3- Repeat step 2 until the numerator is an integer number. In our case, when we multiply numerator by 10, the comma moves 1 place to the right and we get 71. The denominator was 10 in the previous step times 10, it will be 10.10 = 100.    

$0.71 = \frac{0.71}{1} = \frac{7.1}{10} = \frac{71}{100}$           (2)

Finally, putting (1) and (2) together, we get:

$7.71 = 7 + 0.71 = 7 + \frac{71}{100} = 7\frac{71}{100}$