Solve 34/15*5/7+2.6

$$3 \frac { 4 } { 15 } \times \frac { 5 } { 7 } + 2.6$$

Evaluate

$$\frac{74}{15}\approx 4.933333333$$

Solution Steps

Multiply 3 and 15 to get 45.

$$\frac{45+4}{15}\times \frac{5}{7}+2.6$$

Add 45 and 4 to get 49.

$$\frac{49}{15}\times \frac{5}{7}+2.6$$

Multiply \frac{49}{15} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 5}{15\times 7}+2.6$$

Do the multiplications in the fraction \frac{49\times 5}{15\times 7}.

$$\frac{245}{105}+2.6$$

Reduce the fraction \frac{245}{105} to lowest terms by extracting and canceling out 35.

$$\frac{7}{3}+2.6$$

Convert decimal number 2.6 to fraction \frac{26}{10}. Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}+\frac{13}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{7}{3} and \frac{13}{5} to fractions with denominator 15.

$$\frac{35}{15}+\frac{39}{15}$$

Since \frac{35}{15} and \frac{39}{15} have the same denominator, add them by adding their numerators.

$$\frac{35+39}{15}$$

Add 35 and 39 to get 74.

$$\frac{74}{15}$$

Factor

$$\frac{2 \cdot 37}{3 \cdot 5} = 4\frac{14}{15} = 4.933333333333334$$