What is 6.25 converted to a fraction? The answer should be in simplest form.
6.25 converted to a fraction in simplest form is 6 1/4.
To convert 6.25 to a fraction, we can first rewrite it as a mixed number. Since 6 is the whole number part and 0.25 is the decimal part, we have:
6 + 0.25 = 6 25/100.
Next, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25:
6 25/100 = 6 (25 ÷ 25)/(100 ÷ 25) = 6 1/4.
Therefore, 6.25 can be converted to the fraction 6 1/4 in simplest form.
To convert a decimal number to a fraction, you can follow these steps:
Step 1: Identify the place value of the decimal number. In this case, "6.25" is a number with two decimal places.
Step 2: Write down the decimal number as the numerator of the fraction. So, the numerator is "6.25".
Step 3: Determine the denominator based on the number of decimal places. For each decimal place, the denominator is a power of 10. Since there are two decimal places, the denominator is "10^2" (which is 100).
Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 625 and 100 is 25.
Therefore, to convert 6.25 to a fraction:
Step 1: The numerator is 6.25.
Step 2: The denominator is 100 (since there are two decimal places).
Step 3: Simplifying the fraction, both the numerator and denominator are divided by their GCD, which is 25.
6.25 ÷ 25 = 0.25
100 ÷ 25 = 4
So, the simplified fraction is 0.25/4.