Write the equivalent fraction and percent for the mixed number 1 4/5
The Correct Answer and Explanation is:
To convert the mixed number 1451 \frac{4}{5}154 into an equivalent fraction and percentage, we’ll first break it down into steps.
Step 1: Convert the Mixed Number to an Improper Fraction
A mixed number consists of a whole number and a fraction. To convert it to an improper fraction, we multiply the whole number by the denominator of the fraction and then add the numerator.
For 1451 \frac{4}{5}154:
- The whole number is 111.
- The fraction part is 45\frac{4}{5}54.
Now, multiply the whole number by the denominator:1×5=51 \times 5 = 51×5=5
Then, add the numerator of the fraction to this result:5+4=95 + 4 = 95+4=9
So, the mixed number 1451 \frac{4}{5}154 is equivalent to the improper fraction 95\frac{9}{5}59.
Step 2: Convert the Fraction to a Percent
To convert a fraction into a percent, divide the numerator by the denominator and then multiply the result by 100100100.
For the improper fraction 95\frac{9}{5}59:95=1.8\frac{9}{5} = 1.859=1.8
Now, multiply by 100100100 to convert to a percentage:1.8×100=180%1.8 \times 100 = 180\%1.8×100=180%
Final Answer:
- The mixed number 1451 \frac{4}{5}154 is equivalent to the improper fraction 95\frac{9}{5}59.
- The percentage equivalent is 180%180\%180%.
Explanation:
A mixed number combines a whole number and a fraction, which can be easily converted into an improper fraction for easier mathematical operations. By multiplying the whole number by the denominator and adding the numerator, we can combine them into a single fraction. The conversion to a percent involves dividing the fraction and then multiplying by 100.
