Solve 45/9*2.6+5/9

$$4 \frac { 5 } { 9 } \times 2.6 + \frac { 5 } { 9 }$$

Evaluate

$$12.4$$

Solution Steps

Multiply 4 and 9 to get 36.

$$\frac{36+5}{9}\times 2.6+\frac{5}{9}$$

Add 36 and 5 to get 41.

$$\frac{41}{9}\times 2.6+\frac{5}{9}$$

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.

$$\frac{41}{9}\times \frac{13}{5}+\frac{5}{9}$$

Multiply \frac{41}{9} times \frac{13}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{41\times 13}{9\times 5}+\frac{5}{9}$$

Do the multiplications in the fraction \frac{41\times 13}{9\times 5}.

$$\frac{533}{45}+\frac{5}{9}$$

Least common multiple of 45 and 9 is 45. Convert \frac{533}{45} and \frac{5}{9} to fractions with denominator 45.

$$\frac{533}{45}+\frac{25}{45}$$

Since \frac{533}{45} and \frac{25}{45} have the same denominator, add them by adding their numerators.

$$\frac{533+25}{45}$$

Add 533 and 25 to get 558.

$$\frac{558}{45}$$

Reduce the fraction \frac{558}{45} to lowest terms by extracting and canceling out 9.

$$\frac{62}{5}$$

Factor

$$\frac{2 \cdot 31}{5} = 12\frac{2}{5} = 12.4$$