Solve 1.2*13/7*0.84

$$1.2 \times 1 \frac { 3 } { 7 } \times 0.84$$

Evaluate

$$1.44$$

Solution Steps

Multiply 1 and 7 to get 7.

$$1.2\times \frac{7+3}{7}\times 0.84$$

Add 7 and 3 to get 10.

$$1.2\times \frac{10}{7}\times 0.84$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}\times \frac{10}{7}\times 0.84$$

Multiply \frac{6}{5} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 10}{5\times 7}\times 0.84$$

Do the multiplications in the fraction \frac{6\times 10}{5\times 7}.

$$\frac{60}{35}\times 0.84$$

Reduce the fraction \frac{60}{35} to lowest terms by extracting and canceling out 5.

$$\frac{12}{7}\times 0.84$$

Convert decimal number 0.84 to fraction \frac{84}{100}. Reduce the fraction \frac{84}{100} to lowest terms by extracting and canceling out 4.

$$\frac{12}{7}\times \frac{21}{25}$$

Multiply \frac{12}{7} times \frac{21}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 21}{7\times 25}$$

Do the multiplications in the fraction \frac{12\times 21}{7\times 25}.

$$\frac{252}{175}$$

Reduce the fraction \frac{252}{175} to lowest terms by extracting and canceling out 7.

$$\frac{36}{25}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5 ^ {2}} = 1\frac{11}{25} = 1.44$$