The problem is to convert the following improper fractions to mixed fractions: (1) $\frac{25}{3}$ (2) $\frac{15}{4}$ (3) $\frac{26}{5}$ (4) $\frac{19}{2}$ (5) $\frac{21}{4}$

1. Problem Description

The problem is to convert the following improper fractions to mixed fractions:

(1) $\frac{25}{3}$

(2) $\frac{15}{4}$

(3) $\frac{26}{5}$

(4) $\frac{19}{2}$

(5) $\frac{21}{4}$

2. Solution Steps

To convert an improper fraction to a mixed fraction, we perform division of the numerator by the denominator. The quotient becomes the whole number part of the mixed fraction, the remainder becomes the numerator of the fractional part, and the denominator stays the same.

(1) $\frac{25}{3}$:

$25 \div 3 = 8$ with a remainder of $1$.

So, $\frac{25}{3} = 8\frac{1}{3}$.

(2) $\frac{15}{4}$:

$15 \div 4 = 3$ with a remainder of $3$.

So, $\frac{15}{4} = 3\frac{3}{4}$.

(3) $\frac{26}{5}$:

$26 \div 5 = 5$ with a remainder of $1$.

So, $\frac{26}{5} = 5\frac{1}{5}$.

(4) $\frac{19}{2}$:

$19 \div 2 = 9$ with a remainder of $1$.

So, $\frac{19}{2} = 9\frac{1}{2}$.

(5) $\frac{21}{4}$:

$21 \div 4 = 5$ with a remainder of $1$.

So, $\frac{21}{4} = 5\frac{1}{4}$.

3. Final Answer

(1) $8\frac{1}{3}$

(2) $3\frac{3}{4}$

(3) $5\frac{1}{5}$

(4) $9\frac{1}{2}$

(5) $5\frac{1}{4}$