Change the decimal to a fraction: 0.759(1 point)

Question

Responses

759/999
759 over 999

Cannot be written as a fraction

7 59/100
7 and 59 over 100

75 9/10
75 and 9 tenths

759/1000

Answer 1

To convert the decimal 0.759 into a fraction, we can follow these steps:

1. Write the decimal as a fraction with 1 in the denominator: \( \frac{0.759}{1} \).
2. Multiply both the numerator and the denominator by 1000 (since there are three digits after the decimal point): \[ \frac{0.759 \times 1000}{1 \times 1000} = \frac{759}{1000} \]

So, the decimal 0.759 can be written as the fraction \( \frac{759}{1000} \).

Thus, the correct response is 759/1000.