SSAT Middle Level Math : How to subtract fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #1 : How To Subtract Fractions

 hours is how many more minutes than  hours?

Possible Answers:

Correct answer:

Explanation:

This question requires you to subtract fractions as well as convert hours to minutes.  

Subtracting  hours  from  hours 

you get  hours .  

3 hours is 180 minutes 

and  of an hour is 45 minutes .

Thus the answer is

Example Question #2 : How To Subtract Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

"Borrow" 1 from the 9 to form . You can then subtract integers and fractions vertically:

Example Question #3 : How To Subtract Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Rewrite as the difference of improper fractions:

Rewrite with a common denominator, then subtract numerators:

Rewrite as a mixed number:

Example Question #4 : How To Subtract Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Rewrite as the difference of improper fractions:

Rewrite with a common denominator, then subtract numerators:

Rewrite as a mixed number:

so

Example Question #5 : How To Subtract Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

"Borrow" 1 from the 5 to form . You can then subtract integers and fractions vertically:

Example Question #6 : How To Subtract Fractions

Give the result in simplest form:

Possible Answers:

Correct answer:

Explanation:

Example Question #6 : How To Subtract Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

By order of operations, subtractions and additions are carried out in left-to-right order, so subtract 1.73 from 7.89 first. This is best done vertically, aligning decimal points:

Now add 2.50 to the difference (note that a zero has been added to the end), again aligning vertically by decimal point:

Example Question #7 : How To Subtract Fractions

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Subtract vertically by aligning the decimal points, making sure you append the 8 with a decimal point and two placeholder zeroes:

Example Question #8 : How To Subtract Fractions

Subtract:

Possible Answers:

Correct answer:

Explanation:

Rewrite vertically, lining up the decimal digits. Subtract as you would two integers. (Note that you are appending zeroes to the 19.)

Example Question #6 : How To Subtract Fractions

Subtract

Possible Answers:

Correct answer:

Explanation:

Rewrite the first fraction in eighths, as :

Write vertically:

   

Now "borrow" one from 7 and add it to the , then subtract integer and fractional parts separately:

  

   

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