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 1/25
6 1/8
6 125/1,000
6 5/4
To convert 6.125 into fraction form, you need to write it as a fraction with a denominator of 1.
6.125 is equivalent to 6 + 0.125.
0.125 can be written as a fraction by noting that there are 1,000 parts in a whole and 125 parts in 0.125.
So, 0.125 is equivalent to 125/1,000.
Adding 6 and 125/1,000 together gives us:
6 + 125/1,000 = 6 125/1,000
Therefore, 6.125 is equivalent to 6 125/1,000 in fraction form.
To convert 6.125 cups to fraction form, you can write it as a mixed number or as an improper fraction.
As a mixed number:
Since there are 8 cups of granola in 1 whole, we can divide 6.125 by 1 to get the whole number part, and then convert the decimal part to a fraction.
6.125 cups = 6 cups + 0.125 cups
To convert 0.125 to a fraction, we can see that it is equal to 125/1000.
Simplifying the fraction by dividing numerator and denominator by 125, we get:
125/1000 = 1/8
So, 6.125 cups in fraction form is 6 1/8.
Another way to express 6.125 cups as an improper fraction:
Multiply the whole number by the denominator and add the numerator to get the new numerator, then keep the same denominator.
6.125 = 6 * 8 + 1 = 48 + 1 = 49
So, 6.125 cups as an improper fraction is 49/8.
However, the simplified form of the fraction is 6 1/8 since this represents the same quantity in a simplified manner.
To convert 6.125 into fraction form, follow these steps:
1. First, realize that 6 is a whole number, and we need to convert only the decimal part (.125) into a fraction.
2. The number .125 can be written as 125/1000 because the decimal point is three places to the right of the last digit (125).
3. To simplify the fraction, divide both the numerator (125) and denominator (1000) by their greatest common divisor, which is 125.
- 125 ÷ 125 = 1
- 1000 ÷ 125 = 8
Therefore, the simplified fraction form of 6.125 is 6 1/8.