What is 0.75 converted to a fraction? The answer should be given in simplest form.
To convert 0.75 to a fraction, we write the decimal as the numerator and divide by 1 in the denominator:
0.75 = 75/100.
Simplifying the fraction by dividing the numerator and denominator by 25, we get:
75/100 = (75 ÷ 25) / (100 ÷ 25)
= 3/4.
Therefore, 0.75 as a fraction in simplest form is 3/4.
Marcus is making granola mix. He needs 6.125 cups of granola. His measuring cups are only in fractions. How many cups is 6.125 in fraction form? Simplify, if possible
To convert 0.75 to a fraction, we can follow these steps:
Step 1: Rewrite the decimal as the numerator of a fraction. In this case, the decimal is 0.75, so the numerator will be 75.
Step 2: Determine the denominator of the fraction by using the number of decimal places. Since there are two decimal places in 0.75, the denominator will be 100 (10 raised to the power of the number of decimal places).
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, both 75 and 100 can be divided by 25.
Therefore, 0.75 as a fraction in simplest form is:
75/100
Simplifying this fraction further by dividing both the numerator and denominator by their GCD, which is 25:
(75/25) / (100/25) = 3/4
So, 0.75 as a fraction in simplest form is 3/4.
To convert a decimal number to a fraction, you can follow these steps:
Step 1: Write down the decimal number as the numerator (top part of the fraction).
In this case, 0.75 is the decimal number, so the numerator is 0.75.
Step 2: Determine the denominator (bottom part of the fraction).
The denominator is based on the number of decimal places. Since there are two decimal places in 0.75, the denominator will be a power of 10 with the same number of zeros. In this case, the denominator will be 100.
Step 3: Simplify the fraction, if possible.
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor (GCD). In this case, 0.75 ÷ 0.01 = 75 and 100 ÷ 0.01 = 10000. The GCD of 75 and 100 is 25, so dividing both by 25 gives us 75 ÷ 25 = 3 and 10000 ÷ 25 = 400. Therefore, the simplified fraction is 3/4.
So, 0.75, when converted to a fraction in simplest form, is 3/4.