2.86 as a mixed number in simplest form
The Correct Answer and Explanation is:
To convert 2.86 into a mixed number in simplest form, we first separate the whole number part from the decimal part.
Step 1: Express the whole number part
The whole number part is 2, so we will keep this as is in the mixed number.
Step 2: Convert the decimal to a fraction
The decimal part is 0.86. To convert this into a fraction, we first write 0.86 as a fraction with a denominator of 100 (since there are two digits after the decimal point).0.86=861000.86 = \frac{86}{100}0.86=10086
Step 3: Simplify the fraction
To simplify the fraction 86100\frac{86}{100}10086, we find the greatest common divisor (GCD) of 86 and 100. The prime factorization of 86 is 2×432 \times 432×43, and the prime factorization of 100 is 22×522^2 \times 5^222×52. The common factor is 2. Therefore, we divide both the numerator and the denominator by 2.86100=86÷2100÷2=4350\frac{86}{100} = \frac{86 \div 2}{100 \div 2} = \frac{43}{50}10086=100÷286÷2=5043
Step 4: Combine the whole number and the fraction
Now that we have converted 0.86 into 4350\frac{43}{50}5043, we can combine this with the whole number 2 to form the mixed number.2.86=243502.86 = 2 \frac{43}{50}2.86=25043
Thus, 2.86 as a mixed number in simplest form is 243502 \frac{43}{50}25043.
Final Answer:
2.86=243502.86 = 2 \frac{43}{50}2.86=25043
