To divide fractions by whole numbers, you can follow these simple steps:
-
Write the whole number as a fraction:
Any whole number can be written as a fraction with 1 in the denominator.
For example, 3 becomes 31\frac{3}{1}13. -
Use the division rule for fractions:
Dividing by a fraction is the same as multiplying by its reciprocal. -
Multiply the fraction by the reciprocal of the whole number:
For example, if you want to divide 25\frac{2}{5}52 by 3:
25÷3=25×13=2×15×3=215\frac{2}{5}\div 3=\frac{2}{5}\times \frac{1}{3}=\frac{2\times 1}{5\times 3}=\frac{2}{15}52÷3=52×31=5×32×1=152
Summary:
ab÷c=ab×1c=ab×c\frac{a}{b}\div c=\frac{a}{b}\times \frac{1}{c}=\frac{a}{b\times c}ba÷c=ba×c1=b×ca
If you'd like, I can provide more examples or practice problems!