What is 12.8 converted to a fraction? The answer should be given in simplest form.(1 point)
To convert 12.8 to a fraction, we can observe that it can be expressed as 12 + 0.8.
To convert 0.8 to a fraction, we can write it as 8/10 and simplify it by dividing both the numerator and denominator by their greatest common divisor (which in this case is 2).
Dividing 8 by 2 gives us 4, and dividing 10 by 2 gives us 5.
Therefore, 0.8 is equal to 8/10, which simplifies to 4/5.
So, adding 12 and 4/5 together, we get the fraction 12 4/5.
What is 0.75 converted to a fraction? The answer should be given in simplest form.
To convert 0.75 to a fraction, we can write it as 75/100. The fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which in this case is 25.
Dividing 75 by 25 gives us 3, and dividing 100 by 25 gives us 4.
Therefore, 0.75 is equal to 75/100, which simplifies to 3/4.
So, 0.75 can be converted to the fraction 3/4 in simplest form.
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.
To represent 6.125 as a fraction, we first need to determine the denominator based on the decimal value. Since there are three decimal places in 6.125, the denominator will be 1000.
Next, we can write 6.125 as a fraction:
6.125 = 6 + 0.125
To convert 0.125 to a fraction, we write it as 125/1000.
Now we can combine the whole number and the fraction:
6 + 125/1000 = 6 * 1000/1000 + 125/1000
= 6000/1000 + 125/1000
We can simplify this by adding the numerators and keeping the common denominator:
= (6000 + 125)/1000
= 6125/1000
Now, we can further simplify the fraction by finding the greatest common divisor between the numerator and denominator, which is 25.
Dividing 6125 by 25 gives us 245, and dividing 1000 by 25 gives us 40.
Therefore, 6.125 is equal to 6125/1000, which simplifies to 245/40.
So, in fraction form, 6.125 is equal to 245/40, simplified if possible.
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 1/8
6 Start Fraction 1 over 8 End Fraction
6 1/25
6 Start Fraction 1 over 25 End Fraction
6 5/4
6 Start Fraction 5 over 4 End Fraction
6 125/1,000
To represent 6.125 in fraction form, we can simplify the decimal by dividing it by its place value, which in this case is 1000.
Dividing 6.125 by 0.001 (the equivalent of 1000) gives us the fraction 6125/1000.
Next, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 125.
Dividing 6125 by 125 gives us 49, and dividing 1000 by 125 gives us 8.
Therefore, 6.125 is equal to 49/8.
So, in fraction form, 6.125 is equal to 49/8, simplified if possible.
Out of the provided options, the correct fraction form is: 6 1/8.