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Trick: A number is divisible by 9 if the sum of its digits is divisible by 9.
How it works: Simply add all the digits of the number. If the sum is divisible by 9, then the number is divisible by 9.
Example: Is 567 divisible by 9?
5 + 6 + 7 = 18.
Since 18 is divisible by 9, 567 is also divisible by 9.
Trick: "Keep, change, flip!"
To divide fractions, keep the first fraction, change the division sign to multiplication, and then flip the second fraction (take the reciprocal).
2/5 ÷ 3/4 becomes 2/5 × 4/3
Now multiply: (2 × 4)/(5 × 3) = 8/15
Trick: Divide the numerator by the denominator.
To convert an improper fraction (where the numerator is larger than the denominator) to a mixed number, divide the numerator by the denominator.
Example: 7/3
Divide 7 by 3: 7 ÷ 3 = 2 with a remainder of 1.
The mixed number is 2 and ⅓.