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First, let's write the multiplication exercise in the inner parentheses as a fraction:
Now let's flip the fraction to create a multiplication exercise:
Let's add 13 to the fraction's numerator in a multiplication exercise:
Now let's flip the fraction to create a multiplication exercise:
Let's add 30 to the fraction's numerator in a multiplication exercise:
Let's break down the 30 into a smaller multiplication exercise:
Let's reduce between the 3 in the numerator and denominator:
Let's break down the 10 into a smaller multiplication exercise:
Let's reduce between the 2 in the numerator and denominator to get:
65
\( 100-(5+55)= \)
The order of operations requires you to solve expressions in parentheses first! In , you must handle the innermost operation before anything else.
The colon : symbol means division, so . It's just another way to write division that you might see in some textbooks or regions.
When dividing by a fraction, multiply by its reciprocal! So .
Complex fractions can simplify to whole numbers when the factors cancel out nicely! In this case, simplifies perfectly because 30 and 6 share common factors.
Yes, but be careful with parentheses! Enter it as 30÷(3÷(13÷2)) to make sure your calculator follows the correct order of operations.
Take it one step at a time! Start with the innermost expression, write down each step, and work your way outward. Don't try to do multiple operations at once.
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