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Answer :
Sure! Let's solve the problem step by step:
1. Understand the mixed number:
The mixed number given is [tex]\(3 \frac{1}{25}\)[/tex]. This means we have a whole number part, which is 3, and a fractional part, which is [tex]\(\frac{1}{25}\)[/tex].
2. Convert the fraction to a decimal:
To convert [tex]\(\frac{1}{25}\)[/tex] to a decimal, divide the numerator (1) by the denominator (25).
[tex]\[
\frac{1}{25} = 0.04
\][/tex]
3. Add the whole number to the decimal:
Now, we add the whole number part (3) to the decimal part (0.04).
[tex]\[
3 + 0.04 = 3.04
\][/tex]
4. Round to the nearest hundredth if necessary:
In this case, after adding the whole number and the decimal, we get 3.04. Since 3.04 is already to the nearest hundredth, no further rounding is needed.
So, the mixed number [tex]\(3 \frac{1}{25}\)[/tex] is equivalent to the decimal [tex]\(3.04\)[/tex].
1. Understand the mixed number:
The mixed number given is [tex]\(3 \frac{1}{25}\)[/tex]. This means we have a whole number part, which is 3, and a fractional part, which is [tex]\(\frac{1}{25}\)[/tex].
2. Convert the fraction to a decimal:
To convert [tex]\(\frac{1}{25}\)[/tex] to a decimal, divide the numerator (1) by the denominator (25).
[tex]\[
\frac{1}{25} = 0.04
\][/tex]
3. Add the whole number to the decimal:
Now, we add the whole number part (3) to the decimal part (0.04).
[tex]\[
3 + 0.04 = 3.04
\][/tex]
4. Round to the nearest hundredth if necessary:
In this case, after adding the whole number and the decimal, we get 3.04. Since 3.04 is already to the nearest hundredth, no further rounding is needed.
So, the mixed number [tex]\(3 \frac{1}{25}\)[/tex] is equivalent to the decimal [tex]\(3.04\)[/tex].
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