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inna [77]
3 years ago
9

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

Mathematics
1 answer:
KengaRu [80]3 years ago
3 0

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}

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