Solve 4,3-1/4-35/6

$$4,3 - \frac { 1 } { 4 } - 3 \frac { 5 } { 6 }$$

Evaluate

$$\frac{13}{60}\approx 0,216666667$$

Solution Steps

Convert decimal number 4,3 to fraction \frac{43}{10}.

$$\frac{43}{10}-\frac{1}{4}-\frac{3\times 6+5}{6}$$

Least common multiple of 10 and 4 is 20. Convert \frac{43}{10} and \frac{1}{4} to fractions with denominator 20.

$$\frac{86}{20}-\frac{5}{20}-\frac{3\times 6+5}{6}$$

Since \frac{86}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{86-5}{20}-\frac{3\times 6+5}{6}$$

Subtract 5 from 86 to get 81.

$$\frac{81}{20}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{81}{20}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{81}{20}-\frac{23}{6}$$

Least common multiple of 20 and 6 is 60. Convert \frac{81}{20} and \frac{23}{6} to fractions with denominator 60.

$$\frac{243}{60}-\frac{230}{60}$$

Since \frac{243}{60} and \frac{230}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{243-230}{60}$$

Subtract 230 from 243 to get 13.

$$\frac{13}{60}$$

Factor

$$\frac{13}{3 \cdot 5 \cdot 2 ^ {2}} = 0.21666666666666667$$