Question

7 5/6 - 3 1/12 what does this equal as a fraction in simplest form

Answer 1

For this case we convert the mixed numbers into fractions:

`7 \frac {5} {6} = \frac {6 * 7 + 5} {6} = \frac {42 + 5} {6} = \frac {47} {6}\\3 \frac {1} {12} = \frac {12 * 3 + 1} {12} = \frac {36 + 1} {12} = \frac {37} {12}`

Rewriting the expression:

`\frac {47} {6} - \frac {37} {12} =\\\frac {12 * 47-6 * 37} {6 * 12} =\\\frac {564-222} {72} =\\\frac {342} {72} =`

We simplify:

`\frac {171} {36} =\\\frac {57} {12} =\\\frac {19} {4}`

Thus, the simplified form is:
`\frac {19} {4}`

Answer:

`\frac {19} {4}`