New York City SHSAT 2017

(Marvins-Underground-K-12) #1

FRACTIONS AND DECIMALS


Generally, it’s a good idea to reduce fractions when solving math questions. To do this, simply cancel all factors that the numerator
and denominator have in common.


To add fractions, get a common denominator and then add the numerators.


To subtract fractions, get a common denominator and then subtract the numerators.


To multiply fractions, multiply the numerators and multiply the denominators.


To divide fractions, invert the second fraction and multiply. In other words, multiply the first fraction by the reciprocal of the
second fraction.


To compare fractions, multiply the numerator of the first fraction by the denominator of the second fraction to get a product. Then,
multiply the numerator of the second fraction by the denominator of the first fraction to get a second product. If the first product is
greater, the first fraction is greater. If the second product is greater, the second fraction is greater.


DIVIDING BY FRACTIONS


Dividing by a fraction is the same as multiplying by its reciprocal.
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