Evaluate (3/7-16/21)*2 1/7+(11/15+0.3)/12 2/5

$(\frac{3}{7} - \frac{16}{21}) \cdot 2 \frac{1}{7} + \frac{\frac{11}{15} + 0.3}{12 \frac{2}{5}}$

Convert $2 \frac{1}{7}$ to an improper fraction.

Tap for more steps…

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

$(\frac{3}{7} - \frac{16}{21}) \cdot (2 + \frac{1}{7}) + \frac{\frac{11}{15} + 0.3}{12 \frac{2}{5}}$

Add $2$ and $\frac{1}{7}$ .

Tap for more steps…

To write $2$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot (2 \cdot \frac{7}{7} + \frac{1}{7}) + \frac{\frac{11}{15} + 0.3}{12 \frac{2}{5}}$

Combine $2$ and $\frac{7}{7}$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot (\frac{2 \cdot 7}{7} + \frac{1}{7}) + \frac{\frac{11}{15} + 0.3}{12 \frac{2}{5}}$

Combine the numerators over the common denominator.

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{2 \cdot 7 + 1}{7} + \frac{\frac{11}{15} + 0.3}{12 \frac{2}{5}}$

Simplify the numerator.

Tap for more steps…

Multiply $2$ by $7$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{14 + 1}{7} + \frac{\frac{11}{15} + 0.3}{12 \frac{2}{5}}$

Add $14$ and $1$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11}{15} + 0.3}{12 \frac{2}{5}}$

Convert $12 \frac{2}{5}$ to an improper fraction.

Tap for more steps…

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

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11}{15} + 0.3}{12 + \frac{2}{5}}$

Add $12$ and $\frac{2}{5}$ .

Tap for more steps…

To write $12$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11}{15} + 0.3}{12 \cdot \frac{5}{5} + \frac{2}{5}}$

Combine $12$ and $\frac{5}{5}$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11}{15} + 0.3}{\frac{12 \cdot 5}{5} + \frac{2}{5}}$

Combine the numerators over the common denominator.

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11}{15} + 0.3}{\frac{12 \cdot 5 + 2}{5}}$

Simplify the numerator.

Tap for more steps…

Multiply $12$ by $5$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11}{15} + 0.3}{\frac{60 + 2}{5}}$

Add $60$ and $2$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11}{15} + 0.3}{\frac{62}{5}}$

To write $0.3$ as a fraction with a common denominator, multiply by $\frac{15}{15}$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11}{15} + 0.3 \cdot \frac{15}{15}}{\frac{62}{5}}$

Combine fractions.

Tap for more steps…

Combine $0.3$ and $\frac{15}{15}$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11}{15} + \frac{0.3 \cdot 15}{15}}{\frac{62}{5}}$

Simplify the expression.

Tap for more steps…

Combine the numerators over the common denominator.

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11 + 0.3 \cdot 15}{15}}{\frac{62}{5}}$

Multiply $0.3$ by $15$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{11 + 4.5}{15}}{\frac{62}{5}}$

Add $11$ and $4.5$ .

$(\frac{3}{7} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Simplify each term.

Tap for more steps…

To write $\frac{3}{7}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(\frac{3}{7} \cdot \frac{3}{3} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Write each expression with a common denominator of $21$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps…

Multiply $\frac{3}{7}$ and $\frac{3}{3}$ .

$(\frac{3 \cdot 3}{7 \cdot 3} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Multiply $7$ by $3$ .

$(\frac{3 \cdot 3}{21} - \frac{16}{21}) \cdot \frac{15}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 - 16}{21} \cdot \frac{15}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Simplify the numerator.

Tap for more steps…

Multiply $3$ by $3$ .

$\frac{9 - 16}{21} \cdot \frac{15}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Subtract $16$ from $9$ .

$\frac{- 7}{21} \cdot \frac{15}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Cancel the common factor of $7$ .

Tap for more steps…

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{21} \cdot \frac{15}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Cancel the common factor.

$\frac{7 \cdot - 1}{21} \cdot \frac{15}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Rewrite the expression.

$\frac{- 1}{21} \cdot 15 + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Cancel the common factor of $3$ .

Tap for more steps…

Factor $3$ out of $21$ .

$\frac{- 1}{3 (7)} \cdot 15 + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Factor $3$ out of $15$ .

$\frac{- 1}{3 \cdot 7} \cdot (3 \cdot 5) + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Cancel the common factor.

$\frac{- 1}{3 \cdot 7} \cdot (3 \cdot 5) + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Rewrite the expression.

$\frac{- 1}{7} \cdot 5 + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Combine $\frac{- 1}{7}$ and $5$ .

$\frac{- 1 \cdot 5}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Multiply $- 1$ by $5$ .

$\frac{- 5}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Move the negative in front of the fraction.

$- \frac{5}{7} + \frac{\frac{15.5}{15}}{\frac{62}{5}}$

Multiply the numerator by the reciprocal of the denominator.

$- \frac{5}{7} + \frac{15.5}{15} \cdot \frac{5}{62}$

Cancel the common factor of $62$ .

Tap for more steps…

Factor $62$ out of $15.5$ .

$- \frac{5}{7} + \frac{62 (0.25)}{15} \cdot \frac{5}{62}$

Cancel the common factor.

$- \frac{5}{7} + \frac{62 \cdot 0.25}{15} \cdot \frac{5}{62}$

Rewrite the expression.

$- \frac{5}{7} + \frac{0.25}{15} \cdot 5$

Cancel the common factor of $5$ .

Tap for more steps…

Factor $5$ out of $15$ .

$- \frac{5}{7} + \frac{0.25}{5 (3)} \cdot 5$

Cancel the common factor.

$- \frac{5}{7} + \frac{0.25}{5 \cdot 3} \cdot 5$

Rewrite the expression.

$- \frac{5}{7} + \frac{0.25}{3}$

Divide $0.25$ by $3$ .

$- \frac{5}{7} + 0.08\overline{3}$

To write $0.08\overline{3}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$- \frac{5}{7} + 0.08\overline{3} \cdot \frac{7}{7}$

Combine fractions.

Tap for more steps…

Combine $0.08\overline{3}$ and $\frac{7}{7}$ .

$- \frac{5}{7} + \frac{0.08\overline{3} \cdot 7}{7}$

Combine the numerators over the common denominator.

$\frac{- 5 + 0.08\overline{3} \cdot 7}{7}$

Simplify the numerator.

Tap for more steps…

Multiply $0.08\overline{3}$ by $7$ .

$\frac{- 5 + 0.58\overline{3}}{7}$

Add $- 5$ and $0.58\overline{3}$ .

$\frac{- 4.41\overline{6}}{7}$

Divide $- 4.41\overline{6}$ by $7$ .

$- 0.63095238$

Evaluate (3/7-16/21)*2 1/7+(11/15+0.3)/12 2/5

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

We can solve all your math problems