how do you change decimals into fractions?
To change a decimal into a fraction, you have to use the actual decimal place.(tenths, hundredths, thousandths etc.)
For example,
0.75
The 5 is in the hundredths place, so you put 75 OVER 100. Then reduce(unless instructed not to)
It helps to read the decimal in words.
0.7 = seven tenths = 7/10
0.70 = seventy hundredths = 70/100
To change a decimal into a fraction, follow these steps:
Step 1: Write down the decimal number as a fraction with a denominator of 1.
For example, if you have the decimal 0.75, you can write it as 0.75/1.
Step 2: Determine the number of decimal places.
Count the number of decimal places in the given number. In our example, there are two decimal places in 0.75.
Step 3: Multiply both the numerator and denominator by 10 raised to the power of the number of decimal places.
In this case, we have two decimal places, so we multiply both the numerator and denominator by 10^2, which is 100.
0.75/1 becomes 75/100.
Step 4: Simplify the fraction, if possible.
Find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. In our example, the GCD of 75 and 100 is 25, so we can simplify the fraction by dividing both the numerator and denominator by 25.
75/100 simplifies to 3/4.
Therefore, the decimal 0.75 can be written as the fraction 3/4.