Full solution

92 \frac{5}{8} + 1 \frac{1}{2}

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $92\frac{5}{8}$ can be converted to an improper fraction by multiplying the whole number part ( $92$ ) by the denominator ( $8$ ) and adding the numerator ( $5$ ). This gives us $92 \times 8 + 5 = 736 + 5 = 741$ , so the improper fraction is $\frac{741}{8}$ . $\newline$ $1\frac{1}{2}$ can be converted to an improper fraction by multiplying the whole number part ( $1$ ) by the denominator ( $2$ ) and adding the numerator ( $1$ ). This gives us $92$ $0$ , so the improper fraction is $92$ $1$ .
Add Improper Fractions: Add the improper fractions. $\newline$ Now we add $\frac{741}{8}$ and $\frac{3}{2}$ . To do this, we need a common denominator. The least common denominator for $8$ and $2$ is $8$ . We need to convert $\frac{3}{2}$ to have the denominator of $8$ . To do this, we multiply both the numerator and the denominator by $4$ (because $8$ divided by $2$ is $4$ ). This gives us $\frac{3}{2}$ $1$ , so the equivalent fraction is $\frac{3}{2}$ $2$ . $\newline$ Now we can add the fractions: $\frac{3}{2}$ $3$ .
Convert Back to Mixed Number: Convert the improper fraction back to a mixed number. $\newline$ To convert $753/8$ back to a mixed number, we divide $753$ by $8$ . $753$ divided by $8$ is $94$ with a remainder of $1$ . This gives us a whole number part of $94$ and a fractional part of $1/8$ . $\newline$ So, $753/8$ as a mixed number is $753$ $0$ .