Solve 220÷(15×8): Order of Operations Division Problem

$220:(15\times8)=$

To solve the given expression $220 : (15 \times 8)$, follow these steps:

• Step 1: Calculate the multiplication inside the parentheses: $15 \times 8$.

• Step 2: Divide 220 by the result obtained from Step 1.

Let us perform the calculations:

Step 1: Calculate the multiplication.
$15 \times 8 = 120$.

Step 2: Divide 220 by 120.
So, $220 \div 120 = \frac{220}{120}$.

To simplify $\frac{220}{120}$:

Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 20.

The division yields:
$\frac{220}{120} = \frac{11 \times 20}{6 \times 20} = \frac{11}{6}$.

This fraction $\frac{11}{6}$ can be expressed as a mixed number by dividing 11 by 6:

- 11 divided by 6 equals 1 with a remainder of 5, so:

$1\frac{5}{6}$.

Thus, the solution to the problem is $1 \frac{5}{6}$.