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Let's convert 1.8 to a simple fraction:
Let's convert 0.09 to a simple fraction:
Let's multiply the first fraction we got by 10 to get a common denominator of 100:
Now the exercise we got is:
Let's convert the division exercise to a multiplication exercise, and don't forget to swap the numerator and denominator in the second fraction:
Let's reduce the 100 in both fractions and we get:
Let's break down 180 into a multiplication exercise:
Let's reduce the 9 in both the numerator and denominator of the fraction and we get:
What will be the sign of the result of the next exercise?
\( (-2)\cdot(-4)= \)
Great question! When you divide two negative numbers, the result is always positive. Think of it as: negative ÷ negative = positive, just like how (-1) × (-1) = +1.
Not quite! You need to account for decimal places. Converting to fractions like ensures you handle the decimals correctly.
You can! Move the decimal point in both numbers the same number of places to make the divisor a whole number: -1.8 ÷ -0.09 becomes -180 ÷ -9 = +20.
Multiply your answer by the divisor: . If this equals your original dividend, you're correct!
Both methods work! Converting to fractions helps you see the exact values and makes canceling easier. Choose whichever method feels more comfortable to you.
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