Divide decimals and fraction quick check
To divide decimals, you can do the following:
1. Ensure that the divisor is a whole number or a decimal.
2. Move the decimal point of the divisor to the right until it becomes a whole number.
3. Move the decimal point of the dividend (the number being divided) the same number of places to the right as you moved the decimal point of the divisor.
4. Divide the dividend by the whole number divisor as you would with whole numbers.
5. Finally, place the decimal point in the quotient directly above the decimal point in the dividend.
For example:
Dividing 12.4 by 0.2:
Divisor: 0.2 (move decimal point 1 place to the right, becoming 2)
Dividend: 12.4 (move decimal point 1 place to the right, becoming 124)
Quotient: 124 ÷ 2 = 62 (move decimal point back to its original position)
= 62.0
To divide fractions, you can follow these steps:
1. Identify the numerator (top number) and denominator (bottom number) of the fraction.
2. Flip the second fraction (divisor) and change the division sign to multiplication.
3. Multiply the numerators together and the denominators together.
4. Simplify the resulting fraction if possible.
For example:
Dividing 3/4 by 2/5:
Numerator: 3 × 2 = 6
Denominator: 4 × 5 = 20
Simplified quotient: 6/20 = 3/10
To divide decimals, follow these steps:
Step 1: Write out the division problem with the decimal numbers.
Step 2: If necessary, place zeros in the dividend to have the same number of decimal places as the divisor.
Step 3: Divide the numbers as you would with whole numbers, ignoring the decimal point.
Step 4: Place the decimal point in the quotient directly above where it was in the dividend.
Step 5: Simplify the quotient, if needed, by reducing any fractions.
For example, let's divide 1.5 by 0.5:
Step 1: 1.5 ÷ 0.5
Step 2: No need to add zeros since both numbers already have the same number of decimal places.
Step 3: Divide 15 by 5 to get 3.
Step 4: Place the decimal point directly above its position in the dividend, which is already in the correct place.
Step 5: The quotient is already simplified, so the final answer is 3.
To divide fractions, follow these steps:
Step 1: Write out the division problem with the numerator (top number) as the dividend and the denominator (bottom number) as the divisor.
Step 2: Flip the divisor (the fraction you are dividing by) by interchanging its numerator and denominator.
Step 3: Multiply the dividend by the flipped divisor.
Step 4: Simplify the resulting fraction if necessary.
Step 5: If possible, convert the resulting fraction to a mixed number or decimal for a final answer.
For example, let's divide 2/3 by 1/4:
Step 1: 2/3 ÷ 1/4
Step 2: Flip the divisor to become 4/1.
Step 3: Multiply the dividend (2/3) by the flipped divisor (4/1):
(2/3) * (4/1) = (2 * 4) / (3 * 1) = 8/3
Step 4: The resulting fraction, 8/3, cannot be simplified further.
Step 5: To convert the fraction to a mixed number, divide 8 by 3:
8 ÷ 3 = 2 remainder 2
So the final answer is 2 and 2/3.