# ISEE Middle Level Math : How to subtract fractions

## Example Questions

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### Example Question #1 : How To Subtract Fractions

Give the result in simplest form:

Explanation:

### Example Question #2 : How To Subtract Fractions

Evaluate:

Explanation:

Subtract vertically, appending the 9 with a decimal point and two placeholder zeroes first.

### Example Question #1 : How To Subtract Fractions

Evaluate:

Explanation:

By order of operations, subtractions are carried out in left-to-right order, so subtract 4.70 (adding the placeholder zero) from 7.82, aligning the decimal points:

Now subtract 2.56 from this difference, again aligning vertically by decimal point:

### Example Question #4 : How To Subtract Fractions

Evaluate:

Explanation:

Rewrite this difference as a sum. The sum of two numbers of unlike sign is the difference of their absolute values, with the sign of the "dominant" number (the negative number here) affixed:

Subtract vertically by aligning the decimal points, making sure you append the 9 with a decimal point and two placeholder zeroes:

Since the answer is negative, append a negative symbol in front. The answer is .

### Example Question #5 : How To Subtract Fractions

Subtract:

Explanation:

Since you are subtracting a larger number from a smaller, reverse them, and affix a negative symbol:

Rewrite vertically, lining up the decimal digits. Subtract as you would two integers. (Note that you are appending a zero to the 0.15.)

Affix the negative symbol to obtain the difference of .

### Example Question #6 : How To Subtract Fractions

Evaluate:

Explanation:

Subtract the first two fractions first. This is best done by writing vertically, and subtracting integer and fraction parts.

Now add this to the third fraction similarly, adjusting as shown for the improper fraction:

### Example Question #7 : How To Subtract Fractions

Subtract:

Explanation:

Subtract vertically, making sure the decimal points in all three numbers line up (note that a zero has been appended to the first number):

### Example Question #8 : How To Subtract Fractions

Subtract:

Explanation:

Rewrite the first fraction in eighths, as .

Now write vertically:

"Borrow" in the first expression, then subtract integer and fractional parts separately:

### Example Question #9 : How To Subtract Fractions

Explanation:

Subtract the numerators:

### Example Question #1 : How To Subtract Fractions

Which of the following expressions is equal to  ?

Explanation:

Rewrite   as a decimal:

, so

Now subtract:

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