Subtraction I - Whole Number minus Fraction
"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.
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".
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.
The remaining task is to solve a problem of the type "subtract mixed number from whole number".
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.