How to Multiply Fractions with Whole Numbers
Multiplying fractions by whole numbers is a simple process. Here’s a step-by- step guide to help you understand how to do it:
Step 1: Understand the Problem
You have a fraction, for example, 34\frac{3}{4}43, and a whole number, for example, 5. You want to multiply them.
Step 2: Convert the Whole Number to a Fraction
Every whole number can be written as a fraction by putting it over 1.
So, 5 becomes 51\frac{5}{1}15.
Step 3: Multiply the Numerators
Multiply the top numbers (numerators) of the two fractions:
3×5=153\times 5=153×5=15.
Step 4: Multiply the Denominators
Multiply the bottom numbers (denominators) of the two fractions:
4×1=44\times 1=44×1=4.
Step 5: Write the New Fraction
Put the results together:
154\frac{15}{4}415
Step 6: Simplify or Convert to Mixed Number (Optional)
154\frac{15}{4}415 is an improper fraction. You can convert it to a mixed number:
15÷4=3 remainder 3 ⟹ 33415\div 4=3\text{ remainder }3\implies 3\frac{3}{4}15÷4=3 remainder 3⟹343
Example
Multiply 23\frac{2}{3}32 by 7.
- Convert 7 to 71\frac{7}{1}17.
- Multiply numerators: 2×7=142\times 7=142×7=14.
- Multiply denominators: 3×1=33\times 1=33×1=3.
- Result: 143\frac{14}{3}314.
- Convert to mixed number: 4234\frac{2}{3}432.
If you want, I can provide more examples or practice problems!
