Solve 5,25-(11/4+38/13)

$$5,25 - ( 1 \frac { 1 } { 4 } + 3 \frac { 8 } { 13 } )$$

Evaluate

$$\frac{5}{13}\approx 0,384615385$$

Solution Steps

Multiply 1 and 4 to get 4.

$$5,25-\left(\frac{4+1}{4}+\frac{3\times 13+8}{13}\right)$$

Add 4 and 1 to get 5.

$$5,25-\left(\frac{5}{4}+\frac{3\times 13+8}{13}\right)$$

Multiply 3 and 13 to get 39.

$$5,25-\left(\frac{5}{4}+\frac{39+8}{13}\right)$$

Add 39 and 8 to get 47.

$$5,25-\left(\frac{5}{4}+\frac{47}{13}\right)$$

Least common multiple of 4 and 13 is 52. Convert \frac{5}{4} and \frac{47}{13} to fractions with denominator 52.

$$5,25-\left(\frac{65}{52}+\frac{188}{52}\right)$$

Since \frac{65}{52} and \frac{188}{52} have the same denominator, add them by adding their numerators.

$$5,25-\frac{65+188}{52}$$

Add 65 and 188 to get 253.

$$5,25-\frac{253}{52}$$

Convert decimal number 5,25 to fraction \frac{525}{100}. Reduce the fraction \frac{525}{100} to lowest terms by extracting and canceling out 25.

$$\frac{21}{4}-\frac{253}{52}$$

Least common multiple of 4 and 52 is 52. Convert \frac{21}{4} and \frac{253}{52} to fractions with denominator 52.

$$\frac{273}{52}-\frac{253}{52}$$

Since \frac{273}{52} and \frac{253}{52} have the same denominator, subtract them by subtracting their numerators.

$$\frac{273-253}{52}$$

Subtract 253 from 273 to get 20.

$$\frac{20}{52}$$

Reduce the fraction \frac{20}{52} to lowest terms by extracting and canceling out 4.

$$\frac{5}{13}$$

Factor

$$\frac{5}{13} = 0.38461538461538464$$