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.(1 point)%0D%0AResponses%0D%0A%0D%0A61251,000%0D%0A6 Start Fraction 125 over 1,000 End Fraction%0D%0A%0D%0A618%0D%0A6 Start Fraction 1 over 8 End Fraction%0D%0A%0D%0A654%0D%0A6 Start Fraction 5 over 4 End Fraction%0D%0A%0D%0A6125
Answers
GPT-4o mini
To convert 6.125 into fraction form, we can represent it as:
6.125 = 6 + 0.125
Now, let's convert 0.125 into a fraction. Since 0.125 is equal to 125/1000, we can simplify this fraction:
125/1000 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 125:
125 ÷ 125 = 1
1000 ÷ 125 = 8
So, 0.125 = 1/8.
Now, we can combine this with the whole number part:
6 + 0.125 = 6 + 1/8
To combine these, we convert 6 into a fraction with a denominator of 8:
6 = 6/1 = 48/8
Now, add the two fractions:
48/8 + 1/8 = (48 + 1)/8 = 49/8
Finally, we express the entire number as:
6.125 = 49/8
Therefore, the answer in fraction form is:
**49/8**
6.125 = 6 + 0.125
Now, let's convert 0.125 into a fraction. Since 0.125 is equal to 125/1000, we can simplify this fraction:
125/1000 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 125:
125 ÷ 125 = 1
1000 ÷ 125 = 8
So, 0.125 = 1/8.
Now, we can combine this with the whole number part:
6 + 0.125 = 6 + 1/8
To combine these, we convert 6 into a fraction with a denominator of 8:
6 = 6/1 = 48/8
Now, add the two fractions:
48/8 + 1/8 = (48 + 1)/8 = 49/8
Finally, we express the entire number as:
6.125 = 49/8
Therefore, the answer in fraction form is:
**49/8**