Decimals as Rational Numbers Quick Check

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Question
What is 0.75 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses

75100
Start Fraction 75 over 100 End Fraction

75
Start Fraction 7 over 5 End Fraction

340
Start Fraction 3 over 40 End Fraction

34

1 answer

To convert the decimal 0.75 to a fraction in its simplest form, follow these steps:

1. Write 0.75 as a fraction: 75100.
2. Simplify the fraction by finding the greatest common divisor (GCD) of 75 and 100, which is 25.
3. Divide both the numerator and the denominator by their GCD:
75÷25100÷25=34.

So, 0.75 as a fraction in simplest form is 34.

Therefore, the correct answer is:
34.