Solve 1/4(-5/1)-3(13/72)

$$\frac{ 1 }{ 4 } (- \frac{ 5 }{ 1 } )-3( \frac{ 13 }{ 72 } )$$

Evaluate

$$-\frac{43}{24}\approx -1.791666667$$

Solution Steps

Anything divided by one gives itself.

$$\frac{1}{4}\left(-5\right)-3\times \frac{13}{72}$$

Multiply \frac{1}{4} and -5 to get \frac{-5}{4}.

$$\frac{-5}{4}-3\times \frac{13}{72}$$

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$-\frac{5}{4}-3\times \frac{13}{72}$$

Express 3\times \frac{13}{72} as a single fraction.

$$-\frac{5}{4}-\frac{3\times 13}{72}$$

Multiply 3 and 13 to get 39.

$$-\frac{5}{4}-\frac{39}{72}$$

Reduce the fraction \frac{39}{72} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{4}-\frac{13}{24}$$

Least common multiple of 4 and 24 is 24. Convert -\frac{5}{4} and \frac{13}{24} to fractions with denominator 24.

$$-\frac{30}{24}-\frac{13}{24}$$

Since -\frac{30}{24} and \frac{13}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-30-13}{24}$$

Subtract 13 from -30 to get -43.

$$-\frac{43}{24}$$

Factor

$$-\frac{43}{24} = -1\frac{19}{24} = -1.7916666666666667$$