Subtraction of fractions 
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1. Subtraction of fractions with the same denominator.
A mother has 5/9 of a bar of chocolate and she gives her daughter Elizabeth 2/9. How much chocolate does the mother have?
5/9  2/9 = (52) / 9 = 3/9. If we simplify the fraction by dividing by 3 we have: 3/9 = 1/3.
To subtract fractions with the same denominator, we subtract the numerators, keeping the same denominator.
Examples 6/6  2/6 = 4/6 = 2/3; 15/11  10/11 = 5/11.
Solve these subtractions:
5/6  1/6 = 

6/7  2/7 = 

7/9  1/9 = 

8/13  4/13 = 
2. Subtraction of fractions with different denominator.
To subtract fractions with different denominator, we previously reduce the fractions to a common denominator and then we subtract.
Examples: 1/5  1/7 = 7/35  5/35 = 2/35; 1/2  1/3 = 3/6  2/6 = 1/6.
Do these subtractions:
2/3 1/4 = 

5/6  3/4 = 

7/9  1/6 = 

4/5  1/7 = 
3. Reduction of mixed numbers to improper fractions.
First, we must convert the whole number to a fraction with the same denominator as the fractional part and then we add.
Examples: 11/2 = 2/2 + 1/2 = 3/2; 3 1/4 = 12/4 + 1/4 = 13/4, 2 3/7 = 14/7 + 3 / 7 = 17/7.
Convert these mixed numbers to improper fractions:
5 y 2/3 = 

2 y 1/5 = 

3 y 1/7 = 

2 y 3/8 = 
4. Subtraction of mixed numbers.
For mixed numbers, we reduce the whole number to improper fractions and then we subtract.
Examples: 5 1/3  3 2/3 = (15/3 +1 / 3)  (9/3 +2 / 3) = 16/3  11/3 = 5/3.
Do these subtractions:
2 y 5/6  1 y 2/6 = 

1 y 3/7  1 y 1/7 = 

3 y 1/3  2 y 1/2 = 

2 y 1/5  1 y 3/7 = 
5 Solve these problems:
1. An employee earns daily 35 2/7 euros and he spends 23 1/7 euros. How much money does he save daily? 

2. Ana has a lot of stickers and first she gives 1/5 and then 1/4. What fraction of stickers does she have? 

3. I have inherited 2/3 of a farm and I bought 1/4 of it. What fraction of the farm do I have? 

4. Mary has 3 2/5 euros and Jose has 5 3/5 euros. How much money do they have in total? 
 Educational applications
 Mathematics 
 In Spanish 
Interactive 
®Arturo Ramo García.Record of intellectual property of Teruel (Spain)
No 141, of 29IX1999
Plaza Playa de Aro, 3, 1º DO 44002TERUEL