Solve (2/14)*0.49+(7/14)*0.24

$$( \frac { 2 } { 14 } ) \times 0.49 + ( \frac { 7 } { 14 } ) \times 0.24$$

Evaluate

$$0.19$$

Solution Steps

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

$$\frac{1}{7}\times 0.49+\frac{7}{14}\times 0.24$$

Convert decimal number 0.49 to fraction \frac{49}{100}.

$$\frac{1}{7}\times \frac{49}{100}+\frac{7}{14}\times 0.24$$

Multiply \frac{1}{7} times \frac{49}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 49}{7\times 100}+\frac{7}{14}\times 0.24$$

Do the multiplications in the fraction \frac{1\times 49}{7\times 100}.

$$\frac{49}{700}+\frac{7}{14}\times 0.24$$

Reduce the fraction \frac{49}{700} to lowest terms by extracting and canceling out 7.

$$\frac{7}{100}+\frac{7}{14}\times 0.24$$

Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.

$$\frac{7}{100}+\frac{1}{2}\times 0.24$$

Convert decimal number 0.24 to fraction \frac{24}{100}. Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{7}{100}+\frac{1}{2}\times \frac{6}{25}$$

Multiply \frac{1}{2} times \frac{6}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{100}+\frac{1\times 6}{2\times 25}$$

Do the multiplications in the fraction \frac{1\times 6}{2\times 25}.

$$\frac{7}{100}+\frac{6}{50}$$

Reduce the fraction \frac{6}{50} to lowest terms by extracting and canceling out 2.

$$\frac{7}{100}+\frac{3}{25}$$

Least common multiple of 100 and 25 is 100. Convert \frac{7}{100} and \frac{3}{25} to fractions with denominator 100.

$$\frac{7}{100}+\frac{12}{100}$$

Since \frac{7}{100} and \frac{12}{100} have the same denominator, add them by adding their numerators.

$$\frac{7+12}{100}$$

Add 7 and 12 to get 19.

$$\frac{19}{100}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 5 ^ {2}} = 0.19$$