Solve 52/3*0.4div1.02+0.28div1.2

$$5 \frac { 2 } { 3 } \times 0.4 \div 1.02 + 0.28 \div 1.2$$

Evaluate

$$\frac{221}{90}\approx 2.455555556$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{\frac{15+2}{3}\times 0.4}{1.02}+\frac{0.28}{1.2}$$

Add 15 and 2 to get 17.

$$\frac{\frac{17}{3}\times 0.4}{1.02}+\frac{0.28}{1.2}$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{17}{3}\times \frac{2}{5}}{1.02}+\frac{0.28}{1.2}$$

Multiply \frac{17}{3} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{17\times 2}{3\times 5}}{1.02}+\frac{0.28}{1.2}$$

Do the multiplications in the fraction \frac{17\times 2}{3\times 5}.

$$\frac{\frac{34}{15}}{1.02}+\frac{0.28}{1.2}$$

Express \frac{\frac{34}{15}}{1.02} as a single fraction.

$$\frac{34}{15\times 1.02}+\frac{0.28}{1.2}$$

Multiply 15 and 1.02 to get 15.3.

$$\frac{34}{15.3}+\frac{0.28}{1.2}$$

Expand \frac{34}{15.3} by multiplying both numerator and the denominator by 10.

$$\frac{340}{153}+\frac{0.28}{1.2}$$

Reduce the fraction \frac{340}{153} to lowest terms by extracting and canceling out 17.

$$\frac{20}{9}+\frac{0.28}{1.2}$$

Expand \frac{0.28}{1.2} by multiplying both numerator and the denominator by 100.

$$\frac{20}{9}+\frac{28}{120}$$

Reduce the fraction \frac{28}{120} to lowest terms by extracting and canceling out 4.

$$\frac{20}{9}+\frac{7}{30}$$

Least common multiple of 9 and 30 is 90. Convert \frac{20}{9} and \frac{7}{30} to fractions with denominator 90.

$$\frac{200}{90}+\frac{21}{90}$$

Since \frac{200}{90} and \frac{21}{90} have the same denominator, add them by adding their numerators.

$$\frac{200+21}{90}$$

Add 200 and 21 to get 221.

$$\frac{221}{90}$$

Factor

$$\frac{13 \cdot 17}{2 \cdot 5 \cdot 3 ^ {2}} = 2\frac{41}{90} = 2.4555555555555557$$