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$Write the below fraction as a mixed number in its simplest form. (1,299,325)/(675) (A) 1,924(125)/(127) (B) (51,973)/(27) (C) 1,924(25)/(27) (D) (259,865)/(127)$

Write the below fraction as a mixed number in its simplest form. $\frac{1,299,325}{675}$ $\newline$ (A) $1,924 \frac{125}{127}$ $\newline$ (B) $\frac{51,973}{27}$ $\newline$ (C) $1,924 \frac{25}{27}$ $\newline$ (D) $\frac{259,865}{127}$

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Multiplication with rational exponents

Full solution

Q. Write the below fraction as a mixed number in its simplest form.

\frac{1,299,325}{675}

\newline

(A)

1,924 \frac{125}{127}

\newline

(B)

\frac{51,973}{27}

\newline

(C)

1,924 \frac{25}{27}

\newline

(D)

\frac{259,865}{127}

Divide Whole Number: Divide $1,299,325$ by $675$ to find the whole number part of the mixed number. $\newline$ $1,299,325 \div 675 = 1,924$ with a remainder.
Calculate Remainder: Calculate the remainder to find the fractional part of the mixed number. $\newline$ Remainder = $1,299,325 - (1,924 \times 675)$ $\newline$ Remainder = $1,299,325 - 1,298,700$ $\newline$ Remainder = $625$
Find Fractional Part: Write the remainder over the original divisor to get the fractional part of the mixed number. $\newline$ Fractional part = $\frac{625}{675}$
Simplify Fraction: Simplify the fractional part of the mixed number. $\newline$ Both the numerator and the denominator can be divided by $25$ . $\newline$ $625 \div 25 = 25$ $\newline$ $675 \div 25 = 27$ $\newline$ So, the simplified fractional part is $\frac{25}{27}$ .
Combine Mixed Number: Combine the whole number part and the simplified fractional part to write the mixed number. $\newline$ Mixed number = $1,924$ and $\frac{25}{27}$

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