Question

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

Simplify it

Answer 2

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 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 \(6 \frac{1}{8}\).