Solve 20*(10+10:4)-16+(5*(5+4))=

$$20 \times ( 10 + 10 : 4 ) - 16 + ( 5 \times ( 5 + 4 ) ) =$$

Evaluate

$$279$$

Solution Steps

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$20\left(10+\frac{5}{2}\right)-16+5\left(5+4\right)$$

Convert 10 to fraction \frac{20}{2}.

$$20\left(\frac{20}{2}+\frac{5}{2}\right)-16+5\left(5+4\right)$$

Since \frac{20}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$20\times \frac{20+5}{2}-16+5\left(5+4\right)$$

Add 20 and 5 to get 25.

$$20\times \frac{25}{2}-16+5\left(5+4\right)$$

Express 20\times \frac{25}{2} as a single fraction.

$$\frac{20\times 25}{2}-16+5\left(5+4\right)$$

Multiply 20 and 25 to get 500.

$$\frac{500}{2}-16+5\left(5+4\right)$$

Divide 500 by 2 to get 250.

$$250-16+5\left(5+4\right)$$

Subtract 16 from 250 to get 234.

$$234+5\left(5+4\right)$$

Add 5 and 4 to get 9.

$$234+5\times 9$$

Multiply 5 and 9 to get 45.

$$234+45$$

Add 234 and 45 to get 279.

$$279$$

Factor

$$3^{2}\times 31$$