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

6 125/1,000

6 5/4

6 1/8

6 1/25

1 answer

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

  1. Separate the whole number from the decimal:

    • The whole number part is 6.
    • The decimal part is 0.125.
  2. Convert 0.125 to a fraction:

    • 0.125 is equivalent to \(\frac{125}{1000}\).
    • We can simplify this fraction by dividing both the numerator and denominator by 125.
    • \(\frac{125 \div 125}{1000 \div 125} = \frac{1}{8}\).
  3. Now we add the whole number back to the fraction:

    • So, \(6.125 = 6 + \frac{1}{8} = 6 \frac{1}{8}\).

Therefore, the simplified fraction form of 6.125 is 6 1/8.

The correct response is 6 1/8.