To multiply whole numbers and fractions, follow these steps:
-
Convert the whole number to a fraction : Write the whole number as a fraction by putting it over 1.
Example: 3=313=\frac{3}{1}3=13 -
Multiply the numerators (top numbers) of the fractions.
Example: 31×25=3×21×5=65\frac{3}{1}\times \frac{2}{5}=\frac{3\times 2}{1\times 5}=\frac{6}{5}13×52=1×53×2=56 -
Multiply the denominators (bottom numbers) of the fractions.
-
Simplify the fraction if needed, or convert it to a mixed number.
Example:
Multiply 4 by 37\frac{3}{7}73:
- Convert 4 to 41\frac{4}{1}14
- Multiply numerators: 4×3=124\times 3=124×3=12
- Multiply denominators: 1×7=71\times 7=71×7=7
- Result: 127\frac{12}{7}712 which can also be written as 1571\frac{5}{7}175.
That's it! Multiplying whole numbers and fractions is straightforward by treating the whole number as a fraction over 1.