Division of fractions |
1.- Division of fractions.
A farmer has divided his field into 8 equal plots. How many plots contain ¾ of the field? Each plot is 1/8 of the field. We just see how many times 1/8 is contained in 3/4. For that, we do that division 3/4: 1/8
To solve this division, we multiply 3 x 8 and it will be the numerator. Then 4 x 1 and it will be the denominator.
So 3/4: 1/8 = (3 x 8) / (4 x 1) = 24/4 = 6. In ¾ of the field there are 6 plots of 1/8.
Remember: to divide two fractions, we multiply in cross, that is, the numerator of the first by the denominator of the second (for the numerator) and the denominator of the first by the numerator of the second (for the denominator) a / b: c / d = a x d / b x c.
Examples: 2/3: 1/9 = 18/3 = 6; 7 /2: 4/5 = 35/8, 5 /3: 2/7 = 35/6.
Solve these divisions: