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)

Responses

6125
6 Start Fraction 1 over 25 End Fraction

618
6 Start Fraction 1 over 8 End Fraction

61251,000
6 Start Fraction 125 over 1,000 End Fraction

654

1 answer

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

  1. Break down the decimal into whole and fractional parts:
    \( 6.125 = 6 + 0.125 \)

  2. Convert the fractional part (0.125) to a fraction:
    \( 0.125 = \frac{125}{1000} \)

  3. Simplify \(\frac{125}{1000}\):
    We can simplify by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 125.
    \[ \frac{125 \div 125}{1000 \div 125} = \frac{1}{8} \]

  4. Combine the whole number and the fraction:
    \( 6.125 = 6 + \frac{1}{8} = 6 \frac{1}{8} \)

So, the fraction form of 6.125 simplified is: \[ 6 \frac{1}{8} \]

Thus, the correct response is: 618
6 Start Fraction 1 over 8 End Fraction