Solve 2/15+13/15+8/15*7/15=

$$\frac { 2 } { 15 } + \frac { 13 } { 15 } + \frac { 8 } { 15 } * \frac { 7 } { 15 } =$$

Evaluate

$$\frac{281}{225}\approx 1.248888889$$

Solution Steps

Since \frac{2}{15} and \frac{13}{15} have the same denominator, add them by adding their numerators.

$$\frac{2+13}{15}+\frac{8}{15}\times \frac{7}{15}$$

Add 2 and 13 to get 15.

$$\frac{15}{15}+\frac{8}{15}\times \frac{7}{15}$$

Divide 15 by 15 to get 1.

$$1+\frac{8}{15}\times \frac{7}{15}$$

Multiply \frac{8}{15} times \frac{7}{15} by multiplying numerator times numerator and denominator times denominator.

$$1+\frac{8\times 7}{15\times 15}$$

Do the multiplications in the fraction \frac{8\times 7}{15\times 15}.

$$1+\frac{56}{225}$$

Convert 1 to fraction \frac{225}{225}.

$$\frac{225}{225}+\frac{56}{225}$$

Since \frac{225}{225} and \frac{56}{225} have the same denominator, add them by adding their numerators.

$$\frac{225+56}{225}$$

Add 225 and 56 to get 281.

$$\frac{281}{225}$$

Factor

$$\frac{281}{3 ^ {2} \cdot 5 ^ {2}} = 1\frac{56}{225} = 1.248888888888889$$