Multiply Fractions & Decimals Quick Check
1. Convert the mixed number 3 1/4 into a decimal.
To convert a mixed number to a decimal, divide the fraction part by the denominator and then add the whole number part.
1/4 = 0.25 (divide 1 by 4)
3 + 0.25 = 3.25
So, 3 1/4 as a decimal is 3.25.
2. Multiply 2/3 by 0.5.
To multiply fractions, multiply the numerators together and then multiply the denominators together.
2/3 * 0.5 = (2*0)/(3*2) = 0/6 = 0
So, 2/3 multiplied by 0.5 is equal to 0.
3. Multiply 4.5 by 2.
To multiply decimals, multiply the numbers as whole numbers and then count the decimal places in the original numbers. Add that many decimal places to the result.
4.5 * 2 = 9
Since 4.5 has one decimal place, the product will also have one decimal place.
So, 4.5 multiplied by 2 is equal to 9.
To multiply fractions and decimals, follow these steps:
For multiplying fractions:
Step 1: Simplify the fractions, if necessary.
Step 2: Multiply the numerators (top numbers) of the fractions to get the new numerator.
Step 3: Multiply the denominators (bottom numbers) of the fractions to get the new denominator.
Step 4: If possible, simplify the resulting fraction.
For example, to multiply 3/4 and 5/6:
Step 1: These fractions are already simplified.
Step 2: Multiply the numerators: 3 * 5 = 15.
Step 3: Multiply the denominators: 4 * 6 = 24.
Step 4: The resulting fraction is 15/24, which can be further simplified as 5/8 by dividing both numerator and denominator by their greatest common factor, which is 3.
For multiplying decimals:
Step 1: Multiply the decimals as if they were whole numbers, ignoring the decimal point.
Step 2: Count the total number of digits to the right of the decimal points in the original numbers.
Step 3: Place the decimal point in the product, making sure there are the same number of digits to the right of the decimal point as there are in the original numbers.
For example, to multiply 0.5 and 0.3:
Step 1: Multiply the decimals: 5 * 3 = 15.
Step 2: There is one digit to the right of the decimal point in each original number.
Step 3: Place the decimal point in the product: 0.15.
This process can be followed for multiplying any fractions or decimals.
To multiply fractions, you can follow these steps:
Step 1: Multiply the numerators. Multiply the numbers that are on top of the fraction, which are called numerators.
Step 2: Multiply the denominators. Multiply the numbers that are at the bottom of the fraction, which are called denominators.
Step 3: Simplify (if needed). If possible, simplify the fraction by canceling out any common factors between the numerator and denominator.
To multiply decimals, you can use the following method:
Step 1: Multiply the numbers as if they were whole numbers, ignoring the decimal points.
Step 2: Count the total number of digits after the decimal points in the original numbers.
Step 3: Place the decimal point in the product. Starting from the right, count the same number of digits as the total number of decimal places in step 2.
Step 4: Simplify (if needed). If the decimal is a repeating decimal, you can convert it into a fraction or round it to an appropriate number of decimal places, depending on the problem.
Overall, to multiply fractions and decimals, you need to apply the specific method for each type of number.