Solve 2/3*0.97+1/3*0.94

$$\frac{ 2 }{ 3 } \times 0.97+ \frac{ 1 }{ 3 } \times 0.94$$

Evaluate

$$0.96$$

Solution Steps

Convert decimal number 0.97 to fraction \frac{97}{100}.

$$\frac{2}{3}\times \frac{97}{100}+\frac{1}{3}\times 0.94$$

Multiply \frac{2}{3} times \frac{97}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 97}{3\times 100}+\frac{1}{3}\times 0.94$$

Do the multiplications in the fraction \frac{2\times 97}{3\times 100}.

$$\frac{194}{300}+\frac{1}{3}\times 0.94$$

Reduce the fraction \frac{194}{300} to lowest terms by extracting and canceling out 2.

$$\frac{97}{150}+\frac{1}{3}\times 0.94$$

Convert decimal number 0.94 to fraction \frac{94}{100}. Reduce the fraction \frac{94}{100} to lowest terms by extracting and canceling out 2.

$$\frac{97}{150}+\frac{1}{3}\times \frac{47}{50}$$

Multiply \frac{1}{3} times \frac{47}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{97}{150}+\frac{1\times 47}{3\times 50}$$

Do the multiplications in the fraction \frac{1\times 47}{3\times 50}.

$$\frac{97}{150}+\frac{47}{150}$$

Since \frac{97}{150} and \frac{47}{150} have the same denominator, add them by adding their numerators.

$$\frac{97+47}{150}$$

Add 97 and 47 to get 144.

$$\frac{144}{150}$$

Reduce the fraction \frac{144}{150} to lowest terms by extracting and canceling out 6.

$$\frac{24}{25}$$

Factor

$$\frac{3 \cdot 2 ^ {3}}{5 ^ {2}} = 0.96$$