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Express . as a mixed number.
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Q. Express . as a mixed number.
- Identify whole and fractional parts: To express the decimal as a mixed number, we first identify the whole number part and the fractional part of the decimal. The whole number part is the number to the left of the decimal point, which is . The fractional part is the number to the right of the decimal point, which is .
- Write fractional part as fraction: The fractional part of the decimal, , can be written as over the power of that corresponds to the number of digits after the decimal point. Since there are two digits after the decimal point, we write as .
- Simplify fraction: The fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is . So, and . Therefore, simplifies to .
- Combine whole and fractional parts: Now, we combine the whole number part with the simplified fractional part to express the mixed number. The mixed number is (the whole number part) and (the simplified fractional part).
