Solve p=4/32*28/31+28/32*4/31+frac{4}{32}*frac{3}{31}

$$p = \frac { 4 } { 32 } \cdot \frac { 28 } { 31 } + \frac { 28 } { 32 } \cdot \frac { 4 } { 31 } + \frac { 4 } { 32 } \cdot \frac { 3 } { 31 }$$

Solve for p

$$p=\frac{59}{248}\approx 0.237903226$$

Steps for Solving Linear Equation

Reduce the fraction \frac{4}{32} to lowest terms by extracting and canceling out 4.

$$p=\frac{1}{8}\times \frac{28}{31}+\frac{28}{32}\times \frac{4}{31}+\frac{4}{32}\times \frac{3}{31}$$

Multiply \frac{1}{8} times \frac{28}{31} by multiplying numerator times numerator and denominator times denominator.

$$p=\frac{1\times 28}{8\times 31}+\frac{28}{32}\times \frac{4}{31}+\frac{4}{32}\times \frac{3}{31}$$

Do the multiplications in the fraction \frac{1\times 28}{8\times 31}.

$$p=\frac{28}{248}+\frac{28}{32}\times \frac{4}{31}+\frac{4}{32}\times \frac{3}{31}$$

Reduce the fraction \frac{28}{248} to lowest terms by extracting and canceling out 4.

$$p=\frac{7}{62}+\frac{28}{32}\times \frac{4}{31}+\frac{4}{32}\times \frac{3}{31}$$

Reduce the fraction \frac{28}{32} to lowest terms by extracting and canceling out 4.

$$p=\frac{7}{62}+\frac{7}{8}\times \frac{4}{31}+\frac{4}{32}\times \frac{3}{31}$$

Multiply \frac{7}{8} times \frac{4}{31} by multiplying numerator times numerator and denominator times denominator.

$$p=\frac{7}{62}+\frac{7\times 4}{8\times 31}+\frac{4}{32}\times \frac{3}{31}$$

Do the multiplications in the fraction \frac{7\times 4}{8\times 31}.

$$p=\frac{7}{62}+\frac{28}{248}+\frac{4}{32}\times \frac{3}{31}$$

Reduce the fraction \frac{28}{248} to lowest terms by extracting and canceling out 4.

$$p=\frac{7}{62}+\frac{7}{62}+\frac{4}{32}\times \frac{3}{31}$$

Since \frac{7}{62} and \frac{7}{62} have the same denominator, add them by adding their numerators.

$$p=\frac{7+7}{62}+\frac{4}{32}\times \frac{3}{31}$$

Add 7 and 7 to get 14.

$$p=\frac{14}{62}+\frac{4}{32}\times \frac{3}{31}$$

Reduce the fraction \frac{14}{62} to lowest terms by extracting and canceling out 2.

$$p=\frac{7}{31}+\frac{4}{32}\times \frac{3}{31}$$

Reduce the fraction \frac{4}{32} to lowest terms by extracting and canceling out 4.

$$p=\frac{7}{31}+\frac{1}{8}\times \frac{3}{31}$$

Multiply \frac{1}{8} times \frac{3}{31} by multiplying numerator times numerator and denominator times denominator.

$$p=\frac{7}{31}+\frac{1\times 3}{8\times 31}$$

Do the multiplications in the fraction \frac{1\times 3}{8\times 31}.

$$p=\frac{7}{31}+\frac{3}{248}$$

Least common multiple of 31 and 248 is 248. Convert \frac{7}{31} and \frac{3}{248} to fractions with denominator 248.

$$p=\frac{56}{248}+\frac{3}{248}$$

Since \frac{56}{248} and \frac{3}{248} have the same denominator, add them by adding their numerators.

$$p=\frac{56+3}{248}$$

Add 56 and 3 to get 59.

$$p=\frac{59}{248}$$

Assign p

$$p≔\frac{59}{248}$$