Question

Estimate and then find the difference.
23 1/6-5 6/8

Answer 1

For this case we have the following expression:

$23 \frac {1} {6} -5 \frac {6} {8} =$

We convert mixed numbers to improper fractions:

$23 \frac {1} {6} = \frac {6 * 23 + 1} {6} = \frac {138 + 1} {6} = \frac {139} {6}\\5 \frac {6} {8} = \frac {8 * 5 + 6} {8} = \frac {40 + 6} {8} = \frac {46} {8} = \frac {23} {4 }$

Rewriting the expression we have:

$\frac {139} {6} - \frac {23} {4} = \frac {4 * 139-6 * 23} {24} = \frac {556-138} {24} = \frac {418} { 24} = \frac {209} {12}$

Thus, the expression is simplified as:

$\frac {209} {12}$

Answer:

$\frac {209} {12}$

Answer 2

Answer:

The difference between  $23 \frac{1}{6}-5 \frac{6}{8}$ is $17 \frac{5}{12}$

Explanation:

$23 \frac{1}{6}-5 \frac{6}{8}$

$\frac{139}{6}-\frac{46}{8}$

Calculating,

=$\frac{139}{6}-\frac{23}{4}$

taking lcm for denominator

=$\frac{278-69}{12}$

= $\frac{209}{12}$

converting into mixed fraction

=$17 \frac{5}{12}$