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.

Answer 1

To convert 6.125 into a fraction, we can follow these steps:

1. Express 6.125 in terms of fractions: \[ 6.125 = 6 + 0.125 \]

2. Convert 0.125 into a fraction:

   • The decimal 0.125 can be expressed as: \[ 0.125 = \frac{125}{1000} \]
   • We can simplify \(\frac{125}{1000}\) by finding the greatest common divisor (GCD) of 125 and 1000. The GCD is 125.
   • Dividing the numerator and denominator by the GCD: \[ \frac{125 \div 125}{1000 \div 125} = \frac{1}{8} \]

3. Combine the whole number part with the fractional part: \[ 6.125 = 6 + \frac{1}{8} = \frac{6 \times 8}{8} + \frac{1}{8} = \frac{48}{8} + \frac{1}{8} = \frac{49}{8} \]

Thus, the number 6.125 in fraction form is: \[ \boxed{\frac{49}{8}} \]

This fraction cannot be simplified further.

Answer 2

Simplify it

Answer 3

The fraction \(\frac{49}{8}\) is already in its simplest form.

To clarify:

• The numerator is 49, and the denominator is 8.
• The only factors of 49 are 1, 7, and 49.
• The only factors of 8 are 1, 2, 4, and 8.

Since 49 and 8 do not have any common factors other than 1, \(\frac{49}{8}\) is indeed simplified and cannot be reduced further.

If you want the mixed number representation, \(\frac{49}{8}\) can also be expressed as: \[ 6 \frac{1}{8} \]

So, the simplest form remains \(\frac{49}{8}\) or presented as a mixed number \(6 \frac{1}{8}\).