Solve 9:13/20-3/4*5-1,3=

$$9 : \frac { 13 } { 20 } - \frac { 3 } { 4 } \cdot 5 - 1,3 =$$

Evaluate

$$\frac{2287}{260}\approx 8,796153846$$

Solution Steps

Divide 9 by \frac{13}{20} by multiplying 9 by the reciprocal of \frac{13}{20}.

$$9\times \frac{20}{13}-\frac{3}{4}\times 5-1,3$$

Express 9\times \frac{20}{13} as a single fraction.

$$\frac{9\times 20}{13}-\frac{3}{4}\times 5-1,3$$

Multiply 9 and 20 to get 180.

$$\frac{180}{13}-\frac{3}{4}\times 5-1,3$$

Express \frac{3}{4}\times 5 as a single fraction.

$$\frac{180}{13}-\frac{3\times 5}{4}-1,3$$

Multiply 3 and 5 to get 15.

$$\frac{180}{13}-\frac{15}{4}-1,3$$

Least common multiple of 13 and 4 is 52. Convert \frac{180}{13} and \frac{15}{4} to fractions with denominator 52.

$$\frac{720}{52}-\frac{195}{52}-1,3$$

Since \frac{720}{52} and \frac{195}{52} have the same denominator, subtract them by subtracting their numerators.

$$\frac{720-195}{52}-1,3$$

Subtract 195 from 720 to get 525.

$$\frac{525}{52}-1,3$$

Convert decimal number 1,3 to fraction \frac{13}{10}.

$$\frac{525}{52}-\frac{13}{10}$$

Least common multiple of 52 and 10 is 260. Convert \frac{525}{52} and \frac{13}{10} to fractions with denominator 260.

$$\frac{2625}{260}-\frac{338}{260}$$

Since \frac{2625}{260} and \frac{338}{260} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2625-338}{260}$$

Subtract 338 from 2625 to get 2287.

$$\frac{2287}{260}$$

Factor

$$\frac{2287}{5 \cdot 13 \cdot 2 ^ {2}} = 8\frac{207}{260} = 8.796153846153846$$