2 3/16 divided by 2

Steps to Solve

1. Convert the mixed number to an improper fraction

To convert the mixed number $2 \frac{3}{16}$ into an improper fraction, use the formula: $$ Improper\ Fraction = \left(Whole\ Number \times Denominator + Numerator\right)/Denominator $$ For $2 \frac{3}{16}$: $$ Improper\ Fraction = \left(2 \times 16 + 3\right)/16 = \left(32 + 3\right)/16 = \frac{35}{16} $$

2. Rewrite the division of a fraction by a whole number

Now, we can rewrite the division of the improper fraction by the whole number 2: $$ \frac{35}{16} \div 2 $$

3. Convert the whole number to a fraction

Convert the whole number 2 to a fraction: $$ 2 = \frac{2}{1} $$

4. Multiply by the reciprocal

Next, we will multiply by the reciprocal of the fraction: $$ \frac{35}{16} \div \frac{2}{1} = \frac{35}{16} \times \frac{1}{2} $$

5. Perform the multiplication

Now multiply the numerators and the denominators: $$ = \frac{35 \times 1}{16 \times 2} = \frac{35}{32} $$

6. Convert back to a mixed number (if necessary)

Finally, if needed, we can convert $\frac{35}{32}$ back to a mixed number. Divide 35 by 32: $$ 35 \div 32 = 1\ \text{ R } 3 $$ So, $\frac{35}{32}$ can be written as: $$ 1 \frac{3}{32} $$