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What is the mixed number 4 4/25 as a decimal

2 Answers

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The correct answer is: 4.16

Step-by-step explanation:

Given mixed number:


4(4)/(25)

In order to convert a mixed number into a decimal number, follow the steps mentioned below:

Multiple 4 with 25 and add the numerator to the answer you get by multiplying 4 with 25. After that, write that result in the numerator and divide it with 25:

Step-1:

Multiply 4 with 25.

4*25 = 100

Step-2:

Add numerator value, which is 4 in this case, in 100

100 + 4 = 104

Step-3:

Rewrite the fraction.


(104)/(25)

Step-4:

Calculate.


(104)/(25) = 4.16

Hence the correct answer is 4.16.

User Michael Szymczak
by
8.7k points
3 votes

The correct answer is:

4.16.

Explanation:

Since we know 25 goes into 100 (think quarters into a dollar), it will be easy to change this fraction to a decimal in the hundredths place.

25 goes into 100 4 times (again, 4 quarters make a dollar). This means we would also multiply 4 by 4, making 16/100.

16/100 is the decimal 0.16. Thus 4 and 4/25 is 4.16.

User Vladik Branevich
by
8.7k points

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