Solve 15÷(2×5): Order of Operations Division Problem

Question

15:(2×5)= 15:(2\times5)= ?

Video Solution

Solution Steps

00:00 Solve
00:03 Multiplication is also division by reciprocal
00:07 Therefore when opening the parentheses, it will end up as divided by C
00:11 We will use this formula in our exercise
00:17 We will solve according to the order of operations from left to right
00:20 We will write division as a fraction
00:28 Division is also multiplication by reciprocal
00:32 We will make sure to multiply numerator by numerator and denominator by denominator
00:40 And this is the solution to the question

Step-by-Step Solution

First we need to apply the following formula:

a:(b×c)=a:b:c a:(b\times c)=a:b:c

Therefore, we get:

15:2:5= 15:2:5=

Now, let's rewrite the exercise as a fraction:

1525= \frac{\frac{15}{2}}{5}=

Then we'll convert it to a multiplication of two fractions:

152×15= \frac{15}{2}\times\frac{1}{5}=

Finally, we multiply numerator by numerator and denominator by denominator, leaving us with:

1510=1510=112 \frac{15}{10}=1\frac{5}{10}=1\frac{1}{2}

Answer

112 1\frac{1}{2}