Solve 0.8+3.8div(2.4*1.4)

$$0.8+3.8 \div (2.4 \times 1.4)$$

Evaluate

$$\frac{811}{420}\approx 1.930952381$$

Solution Steps

Multiply 2.4 and 1.4 to get 3.36.

$$0.8+\frac{3.8}{3.36}$$

Expand \frac{3.8}{3.36} by multiplying both numerator and the denominator by 100.

$$0.8+\frac{380}{336}$$

Reduce the fraction \frac{380}{336} to lowest terms by extracting and canceling out 4.

$$0.8+\frac{95}{84}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}+\frac{95}{84}$$

Least common multiple of 5 and 84 is 420. Convert \frac{4}{5} and \frac{95}{84} to fractions with denominator 420.

$$\frac{336}{420}+\frac{475}{420}$$

Since \frac{336}{420} and \frac{475}{420} have the same denominator, add them by adding their numerators.

$$\frac{336+475}{420}$$

Add 336 and 475 to get 811.

$$\frac{811}{420}$$

Factor

$$\frac{811}{3 \cdot 5 \cdot 7 \cdot 2 ^ {2}} = 1\frac{391}{420} = 1.930952380952381$$