8 divided by 1 4/5 in either fraction form or just number
The Correct Answer and Explanation is:
To divide 8 by 1451 \frac{4}{5}154, follow these steps:
- Convert the mixed number into an improper fraction: The mixed number 1451 \frac{4}{5}154 is equivalent to: 145=55+45=951 \frac{4}{5} = \frac{5}{5} + \frac{4}{5} = \frac{9}{5}154=55+54=59
- Rewrite the division as multiplication by the reciprocal: Dividing by a fraction is the same as multiplying by its reciprocal. So, we rewrite the problem as: 8÷95=8×598 \div \frac{9}{5} = 8 \times \frac{5}{9}8÷59=8×95
- Multiply the whole number by the fraction: To multiply a whole number by a fraction, multiply the whole number by the numerator and place it over the denominator: 8×59=8×59=4098 \times \frac{5}{9} = \frac{8 \times 5}{9} = \frac{40}{9}8×95=98×5=940
- Simplify or convert to a mixed number (if desired): The fraction 409\frac{40}{9}940 is an improper fraction. To convert it to a mixed number: 40÷9=4 remainder 440 \div 9 = 4 \text{ remainder } 440÷9=4 remainder 4 So, the mixed number is: 4494 \frac{4}{9}494
Therefore, 8÷145=4098 \div 1 \frac{4}{5} = \frac{40}{9}8÷154=940 or 4494 \frac{4}{9}494.
Explanation:
- The key to dividing by a fraction is to multiply by its reciprocal.
- Mixed numbers need to be converted to improper fractions to make arithmetic easier.
- Once the operation is performed, the result can be kept as an improper fraction or converted back to a mixed number depending on preference.
