Subtraction I - Whole Number minus Fraction

How long before school is over?

"Double lesson English, music, biology and finally a double lesson of math with Mr. Smith - I hate mondays!", Oliver thinks as he sits in music lessons. "How long before school is over?"

Formula: subtract Whole Number minus Proper Fraction

In the case of a proper fraction, the numerator is lower than the denominator.

Convert "1" of the whole number and into a fraction that has the same denominator. Then you can subtract the two fractions by subtracting the numerators. The denominator remains unchanged.

Example: 7 - 5/9

Imagine:
You have seven apples. Take one of these and divide it into nine pieces. Finally, 5 pieces of it are eaten.

Formula: subtract Whole Number minus Mixed Number

You can directly subtract the whole number of the mixed number from the whole number.

The remaining task is to solve a problem of the type "subtract a proper fraction from a whole number".

Example: 6 - 2 1/4

Let's help poor Oliver now!

In total Fritz has 6 lessons. Assuming that he has already managed 1/4 of the music lesson, he has already completed a total of 2 1/4 hours.

The task is:

First, subtract the whole number part of the mixed number (2) from the whole number (6).

Then - as in the last example - "one" is taken away from the remaining 4 and converted into a fraction with denominator 4. You can then subtract 1/4 from this.

Oliver still has 3 3/4 hours of lessons to do.

 

Formula: subtract Whole Number minus Improper Fraction

In the case of an improper fraction, the numerator is greater than the denominator.

First, convert the improper fraction into a mixed number.

The remaining task is to solve a problem of the type "subtract mixed number from whole number".

Example: 5 - 13/8

The numerator (13) is greater than the denominator (8), so you have to convert the fraction 13/8 into a mixed number:

Now you can subtract this mixed number as described in the formula subtract mixed number from whole number.

Online Practice: Subtracting Fractions from Whole Numbers

Here you can practice subtracting fractions from whole numbers online: Subtract a Fraction from a Whole Number.

If you have any problems with the exercise, please have a look at the hint and the sample solution first.


Let's continue with: "Subtraction Fraction minus Fraction"