real world muliplcation of fractions and mixed numbers
To perform multiplication of fractions and mixed numbers in the real world, follow these steps:
Step 1: Convert the mixed numbers to improper fractions (if applicable).
- A mixed number is a combination of a whole number and a fraction. To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator. Place the result over the denominator.
Step 2: Multiply the numerators together to get the new numerator.
- To multiply fractions, multiply the numerators together. This will give you the new numerator.
Step 3: Multiply the denominators together to get the new denominator.
- Multiply the denominators together. This will give you the new denominator.
Step 4: Simplify the resulting fraction (if necessary).
- If possible, simplify the resulting fraction by finding the greatest common divisor (GCD) of the numerator and denominator, then dividing both by the GCD.
Step 5: Convert the resulting improper fraction back to a mixed number (if desired).
- To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient will be the whole number part, and the remainder will be the numerator of the fractional part. Write this as a mixed number.
For example, let's say we want to multiply 2 1/2 and 3/4:
Step 1: Convert 2 1/2 to an improper fraction.
- Multiply the whole number (2) by the denominator of the fraction (2), then add the numerator (1). This gives us 5/2.
Step 2: Multiply the numerators: 5/2 * 3/4 = (5 * 3) / (2 * 4) = 15/8.
Step 3: Simplify the resulting fraction (if necessary).
- In this case, 15/8 is already in its simplest form.
Step 4: Convert the resulting improper fraction back to a mixed number (if desired).
- Divide the numerator (15) by the denominator (8) to get the quotient of 1 with a remainder of 7. Write this as a mixed number: 1 7/8.
Therefore, 2 1/2 multiplied by 3/4 is equal to 1 7/8 in the real world.