Question
Convert the mixed number to its equivalent decimal and vice versa. \( 2 \frac{10}{40}=\square \)
Ask by Romero Griffiths. in Canada
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 2 \frac{10}{40} = 2.25 \)
Solution
1. Start with the mixed number:
\[
2 \frac{10}{40}
\]
2. Simplify the fractional part. Notice that:
\[
\frac{10}{40} = \frac{10 \div 10}{40 \div 10} = \frac{1}{4}
\]
3. Rewrite the mixed number with the simplified fraction:
\[
2 \frac{1}{4}
\]
4. Convert the fraction \(\frac{1}{4}\) to its decimal form:
\[
\frac{1}{4} = 0.25
\]
5. Add the whole number and the decimal fraction:
\[
2 + 0.25 = 2.25
\]
Thus, the equivalent decimal is:
\[
2 \frac{10}{40}=2.25
\]
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Mind Expander
To convert the mixed number \( 2 \frac{10}{40} \) to a decimal, first simplify the fraction. Since \( \frac{10}{40} \) simplifies to \( \frac{1}{4} \), we have \( 2 \frac{1}{4} \). This can be expressed as \( 2 + 0.25 = 2.25 \) in decimal form. Conversely, to convert the decimal \( 2.25 \) back to a mixed number, we can see that the whole number part is 2 and the decimal part \( 0.25 \) represents \( \frac{1}{4} \). Therefore, \( 2.25 = 2 \frac{1}{4} \).