The Correct Answer and Explanation is:
67.26
To write the mixed number 67 13/50 as a decimal, you can think of it as two separate parts: the whole number part (67) and the fractional part (13/50). The whole number will form the digits to the left of the decimal point. Our main task is to convert the fraction 13/50 into its decimal form.
There are two primary ways to convert a fraction to a decimal.
The first method is to find an equivalent fraction that has a denominator that is a power of 10 (like 10, 100, 1000, etc.). This is often the easiest approach if the denominator can be easily multiplied to become a power of 10. For the fraction 13/50, we can see that if we multiply the denominator 50 by 2, we get 100. To keep the fraction’s value unchanged, we must also multiply the numerator by the same number.
So, we perform the calculation:
(13 × 2) / (50 × 2) = 26/100
The fraction 26/100 means “twenty-six hundredths,” which is written as 0.26 in decimal notation.
The second method is to divide the numerator by the denominator. We would perform the division 13 ÷ 50. Since 13 is less than 50, we start by placing a decimal point and adding a zero to get 130. Then, 130 divided by 50 is 2, with a remainder of 30. We bring down another zero to get 300. Then, 300 divided by 50 is 6. This also gives us the decimal 0.26.
Finally, we combine the whole number part and the decimal part we just found. We add the whole number 67 to the decimal value of the fraction, 0.26.
67 + 0.26 = 67.26
Thus, the mixed number 67 13/50 is equivalent to the decimal number 67.26.
