Solve (4+7.4):4.2+15.2-1

$$( 4 + 7.4 ) : 4.2 + 15.2 - 1$$

Evaluate

$$\frac{592}{35}\approx 16.914285714$$

Solution Steps

Add 4 and 7.4 to get 11.4.

$$\frac{11.4}{4.2}+15.2-1$$

Expand \frac{11.4}{4.2} by multiplying both numerator and the denominator by 10.

$$\frac{114}{42}+15.2-1$$

Reduce the fraction \frac{114}{42} to lowest terms by extracting and canceling out 6.

$$\frac{19}{7}+15.2-1$$

Convert decimal number 15.2 to fraction \frac{152}{10}. Reduce the fraction \frac{152}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{7}+\frac{76}{5}-1$$

Least common multiple of 7 and 5 is 35. Convert \frac{19}{7} and \frac{76}{5} to fractions with denominator 35.

$$\frac{95}{35}+\frac{532}{35}-1$$

Since \frac{95}{35} and \frac{532}{35} have the same denominator, add them by adding their numerators.

$$\frac{95+532}{35}-1$$

Add 95 and 532 to get 627.

$$\frac{627}{35}-1$$

Convert 1 to fraction \frac{35}{35}.

$$\frac{627}{35}-\frac{35}{35}$$

Since \frac{627}{35} and \frac{35}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{627-35}{35}$$

Subtract 35 from 627 to get 592.

$$\frac{592}{35}$$

Factor

$$\frac{37 \cdot 2 ^ {4}}{5 \cdot 7} = 16\frac{32}{35} = 16.914285714285715$$