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Express 15.16 as a mixed number.

Express $15$ . $16$ as a mixed number.

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Convert between decimals and fractions

Full solution

Q. Express

15

.

16

as a mixed number.

Identify Number Parts: Identify the whole number and the decimal part of the given number. $15.16$ can be broken down into a whole number, $15$ , and a decimal part, $.16$ .
Convert Decimal to Fraction: Convert the decimal part to a fraction. $\newline$ To convert $.16$ to a fraction, we recognize that $.16$ is the same as $\frac{16}{100}$ .
Simplify Fraction: Simplify the fraction. $16/100$ can be simplified by dividing both the numerator and the denominator by the greatest common divisor, which is $4$ . So, $16 \div 4 = 4$ and $100 \div 4 = 25$ . This gives us the simplified fraction $4/25$ .
Combine Whole Number and Fraction: Combine the whole number and the simplified fraction. The mixed number is then the combination of the whole number and the simplified fraction, which is $15$ and $\frac{4}{25}$ .

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