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
6.125 cups is 6 1/8 cups in fraction form.
To convert 6.125 cups to fraction form, follow these steps:
Step 1: Convert the decimal part to a fraction:
- Start with the decimal part 0.125.
- Since there are 3 decimal places in 0.125, multiply both the numerator and denominator by 1000 to get rid of the decimal places:
0.125 x 1000 = 125/1000.
Step 2: Simplify the fraction:
- Divide both the numerator and denominator by their greatest common divisor (GCD), which is 125:
125/125 ÷ 1000/125 = 1/8.
Step 3: Add the whole number part:
- 6 cups can be written as an improper fraction as 6/1.
Step 4: Combine the whole number and fractional parts:
- 6/1 + 1/8 = 48/8 + 1/8 = 49/8.
Therefore, 6.125 cups is equivalent to 49/8 cups in fraction form.
To express 6.125 cups in fraction form, follow these steps:
1. Determine the denominator: Since the number has three decimal places (after the decimal point), the denominator should be a power of 10, specifically 1000. This is because each decimal place represents a power of 10 (tenths, hundredths, thousandths).
2. Convert the decimal to a fraction: To do this, write the decimal as the numerator and the denominator as 1000. Thus, 6.125 becomes 6125/1000.
3. Simplify the fraction: Divide both the numerator and the denominator by their greatest common divisor (GCD) to simplify the fraction. In this case, the GCD of 6125 and 1000 is 125. So, divide both numbers by 125: 6125 ÷ 125 = 49 and 1000 ÷ 125 = 8.
Thus, 6.125 cups can be simplified to the fraction 49/8.