Multiply & Divide Rational Numbers Unit Test

9 of 159 of 15 Items
Questio
Multiply & Divide Rational Numbers Unit Test
9 of 159 of 15 Items
Question
What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses

465100
4 Start Fraction 65 over 100 End Fraction

465
Start Fraction 4 over 65 End Fraction

41320
4 Start Fraction 13 over 20 End Fraction

465
4 Start Fraction 6 over 5 End Fractionn

The correct answer is: 4 Start Fraction 65 over 100 End Fraction

To convert 4.65 to a fraction in simplest form, we need to move the decimal point two places to the right. This gives us the fraction 465/100.

So the correct response is: 4 Start Fraction 65 over 100 End Fraction

To convert a decimal number to a fraction, follow these steps:

Step 1: Count the number of decimal places in the decimal.

In this case, the decimal number is 4.65, which has two decimal places.

Step 2: Write the decimal as the numerator of the fraction.

Write 4.65 as 4.65/1.

Step 3: Write 1 followed by the same number of zeroes as there are decimal places in the decimal as the denominator of the fraction.

Since there are two decimal places in 4.65, write 100 as the denominator of the fraction.

Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.

In this case, the greatest common divisor of 465 and 100 is 5.

Divide 465 by 5 to get 93, and divide 100 by 5 to get 20.

So, the fraction in simplest form is 93/20.

Therefore, the correct response is:
Start Fraction 93 over 20 End Fraction