Solve 3/8.6*4.9+0.15

$$\frac{ 3 }{ 8.6 } \times 4.9+0.15$$

Evaluate

$$\frac{1599}{860}\approx 1.859302326$$

Solution Steps

Expand \frac{3}{8.6} by multiplying both numerator and the denominator by 10.

$$\frac{30}{86}\times 4.9+0.15$$

Reduce the fraction \frac{30}{86} to lowest terms by extracting and canceling out 2.

$$\frac{15}{43}\times 4.9+0.15$$

Convert decimal number 4.9 to fraction \frac{49}{10}.

$$\frac{15}{43}\times \frac{49}{10}+0.15$$

Multiply \frac{15}{43} times \frac{49}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 49}{43\times 10}+0.15$$

Do the multiplications in the fraction \frac{15\times 49}{43\times 10}.

$$\frac{735}{430}+0.15$$

Reduce the fraction \frac{735}{430} to lowest terms by extracting and canceling out 5.

$$\frac{147}{86}+0.15$$

Convert decimal number 0.15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{147}{86}+\frac{3}{20}$$

Least common multiple of 86 and 20 is 860. Convert \frac{147}{86} and \frac{3}{20} to fractions with denominator 860.

$$\frac{1470}{860}+\frac{129}{860}$$

Since \frac{1470}{860} and \frac{129}{860} have the same denominator, add them by adding their numerators.

$$\frac{1470+129}{860}$$

Add 1470 and 129 to get 1599.

$$\frac{1599}{860}$$

Factor

$$\frac{3 \cdot 13 \cdot 41}{5 \cdot 43 \cdot 2 ^ {2}} = 1\frac{739}{860} = 1.8593023255813954$$