Solve (-3)^2div41/5-21/4

$$( - 3 ) ^ { 2 } \div 4 \frac { 1 } { 5 } - 2 \frac { 1 } { 4 }$$

Evaluate

$$-\frac{3}{28}\approx -0.107142857$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$\frac{9}{\frac{4\times 5+1}{5}}-\frac{2\times 4+1}{4}$$

Multiply 4 and 5 to get 20.

$$\frac{9}{\frac{20+1}{5}}-\frac{2\times 4+1}{4}$$

Add 20 and 1 to get 21.

$$\frac{9}{\frac{21}{5}}-\frac{2\times 4+1}{4}$$

Divide 9 by \frac{21}{5} by multiplying 9 by the reciprocal of \frac{21}{5}.

$$9\times \frac{5}{21}-\frac{2\times 4+1}{4}$$

Express 9\times \frac{5}{21} as a single fraction.

$$\frac{9\times 5}{21}-\frac{2\times 4+1}{4}$$

Multiply 9 and 5 to get 45.

$$\frac{45}{21}-\frac{2\times 4+1}{4}$$

Reduce the fraction \frac{45}{21} to lowest terms by extracting and canceling out 3.

$$\frac{15}{7}-\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{15}{7}-\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{15}{7}-\frac{9}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{15}{7} and \frac{9}{4} to fractions with denominator 28.

$$\frac{60}{28}-\frac{63}{28}$$

Since \frac{60}{28} and \frac{63}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60-63}{28}$$

Subtract 63 from 60 to get -3.

$$-\frac{3}{28}$$

Factor

$$-\frac{3}{28} = -0.10714285714285714$$