A gymnast is 4 5/12 tall.Which decimal is equivalent to 4 5/12?
A. 4.416
B. 4.416 ( 6 is repeating)
C. 4.512
D. 4.512 ( 2 is repeating)
I'll be glad to check your answer.
5 divided 12 is 4.16 with the six repeating
So (b)
4.166666666667
To find the decimal equivalent of the mixed number 4 5/12, you can follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
4 5/12 = (4 * 12 + 5) / 12 = 53/12
Step 2: Divide the numerator (53) by the denominator (12) using long division.
53 ÷ 12 = 4 with a remainder of 5
Step 3: Write the result as a mixed decimal.
4 5/12 as a decimal = 4.416666...
When dividing 53 by 12, you get 4 with a remainder of 5. This means that the decimal part of the mixed number is 0.5 but with 12 as the denominator, we need to convert the decimal part to a repeating decimal.
Since the remainder is 5, we write the decimal as 0.5 with the 5 repeating. Therefore, the correct answer is:
B. 4.416 (6 is repeating)