Solve 19/2x-5/3x=2/3 4/7

Question

Solve the equation

x = \frac{16}{329}

Alternative Form

x \approx 0.048632

Evaluate

\frac{19}{2} x - \frac{5}{3} x = \frac{2}{3} \times \frac{4}{7}

Subtract the terms

More Steps

Evaluate

\frac{19}{2} x - \frac{5}{3} x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{19}{2} - \frac{5}{3}) x

Subtract the numbers

More Steps

Evaluate

\frac{19}{2} - \frac{5}{3}

Reduce fractions to a common denominator

\frac{19 \times 3}{2 \times 3} - \frac{5 \times 2}{3 \times 2}

Multiply the numbers

\frac{19 \times 3}{6} - \frac{5 \times 2}{3 \times 2}

Multiply the numbers

\frac{19 \times 3}{6} - \frac{5 \times 2}{6}

Write all numerators above the common denominator

\frac{19 \times 3 - 5 \times 2}{6}

Multiply the numbers

\frac{57 - 5 \times 2}{6}

Multiply the numbers

\frac{57 - 10}{6}

Subtract the numbers

\frac{47}{6}

\frac{47}{6} x

\frac{47}{6} x = \frac{2}{3} \times \frac{4}{7}

Multiply the numbers

More Steps

Evaluate

\frac{2}{3} \times \frac{4}{7}

To multiply the fractions,multiply the numerators and denominators separately

\frac{2 \times 4}{3 \times 7}

Multiply the numbers

\frac{8}{3 \times 7}

Multiply the numbers

\frac{8}{21}

\frac{47}{6} x = \frac{8}{21}

Multiply by the reciprocal

\frac{47}{6} x \times \frac{6}{47} = \frac{8}{21} \times \frac{6}{47}

Multiply

x = \frac{8}{21} \times \frac{6}{47}

Solution

More Steps

Evaluate

\frac{8}{21} \times \frac{6}{47}

Reduce the numbers

\frac{8}{7} \times \frac{2}{47}

To multiply the fractions,multiply the numerators and denominators separately

\frac{8 \times 2}{7 \times 47}

Multiply the numbers

\frac{16}{7 \times 47}

Multiply the numbers

\frac{16}{329}

x = \frac{16}{329}

Alternative Form

x \approx 0.048632

Show Solution

Rewrite the equation

329 x = 16

Evaluate

\frac{19}{2} x - \frac{5}{3} x = \frac{2}{3} \times \frac{4}{7}

Evaluate

More Steps

Evaluate

\frac{19}{2} x - \frac{5}{3} x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{19}{2} - \frac{5}{3}) x

Subtract the numbers

More Steps

Evaluate

\frac{19}{2} - \frac{5}{3}

Reduce fractions to a common denominator

\frac{19 \times 3}{2 \times 3} - \frac{5 \times 2}{3 \times 2}

Multiply the numbers

\frac{19 \times 3}{6} - \frac{5 \times 2}{3 \times 2}

Multiply the numbers

\frac{19 \times 3}{6} - \frac{5 \times 2}{6}

Write all numerators above the common denominator

\frac{19 \times 3 - 5 \times 2}{6}

Multiply the numbers

\frac{57 - 5 \times 2}{6}

Multiply the numbers

\frac{57 - 10}{6}

Subtract the numbers

\frac{47}{6}

\frac{47}{6} x

\frac{47}{6} x = \frac{2}{3} \times \frac{4}{7}

Evaluate

More Steps

Evaluate

\frac{2}{3} \times \frac{4}{7}

To multiply the fractions,multiply the numerators and denominators separately

\frac{2 \times 4}{3 \times 7}

Multiply the numbers

\frac{8}{3 \times 7}

Multiply the numbers

\frac{8}{21}

\frac{47}{6} x = \frac{8}{21}

Solution

329 x = 16

Show Solution

Solve the equation

Rewrite the equation

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