Solve y=4/6*2/3*5/8*12/10

$$y = \frac { 4 } { 6 } \cdot \frac { 2 } { 3 } \cdot \frac { 5 } { 8 } \cdot \frac { 12 } { 10 }$$

Solve for y

$$y=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$y=\frac{2}{3}\times \frac{2}{3}\times \frac{5}{8}\times \frac{12}{10}$$

Multiply \frac{2}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{2\times 2}{3\times 3}\times \frac{5}{8}\times \frac{12}{10}$$

Do the multiplications in the fraction \frac{2\times 2}{3\times 3}.

$$y=\frac{4}{9}\times \frac{5}{8}\times \frac{12}{10}$$

Multiply \frac{4}{9} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{4\times 5}{9\times 8}\times \frac{12}{10}$$

Do the multiplications in the fraction \frac{4\times 5}{9\times 8}.

$$y=\frac{20}{72}\times \frac{12}{10}$$

Reduce the fraction \frac{20}{72} to lowest terms by extracting and canceling out 4.

$$y=\frac{5}{18}\times \frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$y=\frac{5}{18}\times \frac{6}{5}$$

Multiply \frac{5}{18} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{5\times 6}{18\times 5}$$

Cancel out 5 in both numerator and denominator.

$$y=\frac{6}{18}$$

Reduce the fraction \frac{6}{18} to lowest terms by extracting and canceling out 6.

$$y=\frac{1}{3}$$

Assign y

$$y≔\frac{1}{3}$$