convertng decimals to fractions
examle like 16.5 divided by 10.75
multipy numerator and denominator by 100 giving
1650/1075
Now this can be reduced (divide each by 25)
66/43
To convert a decimal to a fraction, follow these steps:
Step 1: Identify the decimal number.
In your example, the decimal number is 16.5.
Step 2: Determine the denominator.
In your example, the denominator is 1 because the decimal only has one place value after the decimal point.
Step 3: Write the decimal as a fraction.
In your example, you would write 16.5 as 16.5/1.
Step 4: Simplify the fraction (if possible).
To simplify the fraction, you can multiply both the numerator and denominator by the same number to get an equivalent fraction. In your example, you can multiply both 16.5 and 1 by 10 to eliminate the decimal point, giving 165/10.
Step 5: Further simplify the fraction (if possible).
In your example, you can divide both 165 and 10 by 5 to simplify the fraction, giving 33/2.
So, 16.5 can be written as the fraction 33/2.
For the second part of your question, to convert 10.75 to a fraction, follow the same steps:
Step 1: Identify the decimal number.
In your example, the decimal number is 10.75.
Step 2: Determine the denominator.
In your example, the denominator is 100 because the decimal has two decimal places.
Step 3: Write the decimal as a fraction.
In your example, you would write 10.75 as 10.75/1.
Step 4: Simplify the fraction (if possible).
In your example, you can multiply both 10.75 and 1 by 100 to eliminate the decimal point, giving 1075/100.
Step 5: Further simplify the fraction (if possible).
In your example, you can divide both 1075 and 100 by 25 to simplify the fraction, giving 43/4.
So, 10.75 can be written as the fraction 43/4.