Solve 3,5-3:(52/3-4,8)

$$3,5 - 3 : ( 5 \frac { 2 } { 3 } - 4,8 )$$

Evaluate

$$\frac{1}{26}\approx 0,038461538$$

Solution Steps

Multiply 5 and 3 to get 15.

$$3,5-\frac{3}{\frac{15+2}{3}-4,8}$$

Add 15 and 2 to get 17.

$$3,5-\frac{3}{\frac{17}{3}-4,8}$$

Convert decimal number 4,8 to fraction \frac{48}{10}. Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$3,5-\frac{3}{\frac{17}{3}-\frac{24}{5}}$$

Least common multiple of 3 and 5 is 15. Convert \frac{17}{3} and \frac{24}{5} to fractions with denominator 15.

$$3,5-\frac{3}{\frac{85}{15}-\frac{72}{15}}$$

Since \frac{85}{15} and \frac{72}{15} have the same denominator, subtract them by subtracting their numerators.

$$3,5-\frac{3}{\frac{85-72}{15}}$$

Subtract 72 from 85 to get 13.

$$3,5-\frac{3}{\frac{13}{15}}$$

Divide 3 by \frac{13}{15} by multiplying 3 by the reciprocal of \frac{13}{15}.

$$3,5-3\times \frac{15}{13}$$

Express 3\times \frac{15}{13} as a single fraction.

$$3,5-\frac{3\times 15}{13}$$

Multiply 3 and 15 to get 45.

$$3,5-\frac{45}{13}$$

Convert decimal number 3,5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{2}-\frac{45}{13}$$

Least common multiple of 2 and 13 is 26. Convert \frac{7}{2} and \frac{45}{13} to fractions with denominator 26.

$$\frac{91}{26}-\frac{90}{26}$$

Since \frac{91}{26} and \frac{90}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{91-90}{26}$$

Subtract 90 from 91 to get 1.

$$\frac{1}{26}$$

Factor

$$\frac{1}{2 \cdot 13} = 0.038461538461538464$$