Combine 6 1/3+4 3/4+3 7/12

$6 \frac{1}{3} + 4 \frac{3}{4} + 3 \frac{7}{12}$

Convert $6 \frac{1}{3}$ to an improper fraction.

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A mixed number is an addition of its whole and fractional parts.

$6 + \frac{1}{3} + 4 \frac{3}{4} + 3 \frac{7}{12}$

Add $6$ and $\frac{1}{3}$ .

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To write $6$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$6 \cdot \frac{3}{3} + \frac{1}{3} + 4 \frac{3}{4} + 3 \frac{7}{12}$

Combine $6$ and $\frac{3}{3}$ .

$\frac{6 \cdot 3}{3} + \frac{1}{3} + 4 \frac{3}{4} + 3 \frac{7}{12}$

Combine the numerators over the common denominator.

$\frac{6 \cdot 3 + 1}{3} + 4 \frac{3}{4} + 3 \frac{7}{12}$

Simplify the numerator.

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Multiply $6$ by $3$ .

$\frac{18 + 1}{3} + 4 \frac{3}{4} + 3 \frac{7}{12}$

Add $18$ and $1$ .

$\frac{19}{3} + 4 \frac{3}{4} + 3 \frac{7}{12}$

Convert $4 \frac{3}{4}$ to an improper fraction.

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A mixed number is an addition of its whole and fractional parts.

$\frac{19}{3} + 4 + \frac{3}{4} + 3 \frac{7}{12}$

Add $4$ and $\frac{3}{4}$ .

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To write $4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{19}{3} + 4 \cdot \frac{4}{4} + \frac{3}{4} + 3 \frac{7}{12}$

Combine $4$ and $\frac{4}{4}$ .

$\frac{19}{3} + \frac{4 \cdot 4}{4} + \frac{3}{4} + 3 \frac{7}{12}$

Combine the numerators over the common denominator.

$\frac{19}{3} + \frac{4 \cdot 4 + 3}{4} + 3 \frac{7}{12}$

Simplify the numerator.

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Multiply $4$ by $4$ .

$\frac{19}{3} + \frac{16 + 3}{4} + 3 \frac{7}{12}$

Add $16$ and $3$ .

$\frac{19}{3} + \frac{19}{4} + 3 \frac{7}{12}$

Convert $3 \frac{7}{12}$ to an improper fraction.

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A mixed number is an addition of its whole and fractional parts.

$\frac{19}{3} + \frac{19}{4} + 3 + \frac{7}{12}$

Add $3$ and $\frac{7}{12}$ .

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To write $3$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$\frac{19}{3} + \frac{19}{4} + 3 \cdot \frac{12}{12} + \frac{7}{12}$

Combine $3$ and $\frac{12}{12}$ .

$\frac{19}{3} + \frac{19}{4} + \frac{3 \cdot 12}{12} + \frac{7}{12}$

Combine the numerators over the common denominator.

$\frac{19}{3} + \frac{19}{4} + \frac{3 \cdot 12 + 7}{12}$

Simplify the numerator.

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Multiply $3$ by $12$ .

$\frac{19}{3} + \frac{19}{4} + \frac{36 + 7}{12}$

Add $36$ and $7$ .

$\frac{19}{3} + \frac{19}{4} + \frac{43}{12}$

Find the common denominator.

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Multiply $\frac{19}{3}$ by $\frac{4}{4}$ .

$\frac{19}{3} \cdot \frac{4}{4} + \frac{19}{4} + \frac{43}{12}$

Combine.

$\frac{19 \cdot 4}{3 \cdot 4} + \frac{19}{4} + \frac{43}{12}$

Multiply $\frac{19}{4}$ by $\frac{3}{3}$ .

$\frac{19 \cdot 4}{3 \cdot 4} + \frac{19}{4} \cdot \frac{3}{3} + \frac{43}{12}$

Combine.

$\frac{19 \cdot 4}{3 \cdot 4} + \frac{19 \cdot 3}{4 \cdot 3} + \frac{43}{12}$

Multiply $3$ by $4$ .

$\frac{19 \cdot 4}{12} + \frac{19 \cdot 3}{4 \cdot 3} + \frac{43}{12}$

Reorder the factors of $4 \cdot 3$ .

$\frac{19 \cdot 4}{12} + \frac{19 \cdot 3}{3 \cdot 4} + \frac{43}{12}$

Multiply $3$ by $4$ .

$\frac{19 \cdot 4}{12} + \frac{19 \cdot 3}{12} + \frac{43}{12}$

Combine fractions.

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Combine fractions with similar denominators.

$\frac{19 \cdot 4 + 19 \cdot 3 + 43}{12}$

Multiply.

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Multiply $19$ by $4$ .

$\frac{76 + 19 \cdot 3 + 43}{12}$

Multiply $19$ by $3$ .

$\frac{76 + 57 + 43}{12}$

Simplify the numerator.

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Add $76$ and $57$ .

$\frac{133 + 43}{12}$

Add $133$ and $43$ .

$\frac{176}{12}$

Cancel the common factor of $176$ and $12$ .

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Factor $4$ out of $176$ .

$\frac{4 (44)}{12}$

Cancel the common factors.

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Factor $4$ out of $12$ .

$\frac{4 \cdot 44}{4 \cdot 3}$

Cancel the common factor.

$\frac{4 \cdot 44}{4 \cdot 3}$

Rewrite the expression.

$\frac{44}{3}$

Combine 6 1/3+4 3/4+3 7/12

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