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

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

6 1/25
6 Start Fraction 1 over 25 End Fraction

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

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

Answer 1

To convert the decimal 6.125 into fraction form, we can break it down as follows:

1. The whole number part is 6.
2. The decimal part, 0.125, can be converted to a fraction.

To convert 0.125 to a fraction:

• 0.125 can be written as 125/1000 (since 125 is the same as 125/1000 because 125 divided by 1000 equals 0.125).

• We can simplify 125/1000 by dividing both the numerator and the denominator by 125:

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

Now we combine the whole number part with the fractional part:

6.125 = 6 + 0.125 = 6 + 1/8

To express this as a mixed number:

• \( 6 + \frac{1}{8} \) can be written as \( 6 \frac{1}{8} \).

Thus, the fraction form of 6.125 is \( 6 \frac{1}{8} \) or \( 6 \) Start Fraction 1 over 8 End Fraction.

Looking at your options, the correct answer is:

6 1/8 (or 6 Start Fraction 1 over 8 End Fraction)