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.(1 point)

Question

Responses

6 5/4
6 Start Fraction 5 over 4 End Fraction

6 125/1,000
6 Start Fraction 125 over 1,000 End Fraction

6 1/8
6 Start Fraction 1 over 8 End Fraction

6 1/25

Answer 1

To convert 6.125 into a fraction, we can break it down as follows:

1. Separate whole number and decimal:
   \( 6.125 = 6 + 0.125 \)

2. Convert the decimal to a fraction:
   The decimal \( 0.125 \) can be expressed as \( \frac{125}{1000} \). We can simplify \( \frac{125}{1000} \):

   • The greatest common divisor (GCD) of 125 and 1000 is 125.

   • So, we can divide both the numerator and denominator by 125:

   \[ \frac{125 \div 125}{1000 \div 125} = \frac{1}{8} \]

3. Combine the whole number and the fraction:
   Thus,

   \[ 6.125 = 6 + \frac{1}{8} \]

   This can be expressed as a mixed number: \[ 6 \frac{1}{8} \]

This is equivalent to:

\[ 6 \frac{1}{8} = 6 \cdot \frac{8}{8} + \frac{1}{8} = \frac{48}{8} + \frac{1}{8} = \frac{49}{8} \]

However, since we are asked for the mixed number format, the answer in fraction form is:

6 1/8 or 6 Start Fraction 1 over 8 End Fraction.