What is the value of the expression below 64 5/6
The correct answer and explanation is:
To evaluate the expression 645664 \frac{5}{6}, we can follow these steps:
Step 1: Convert the Mixed Fraction to an Improper Fraction
A mixed fraction consists of an integer part and a fractional part. To convert 645664 \frac{5}{6} into an improper fraction, we first multiply the denominator of the fraction (which is 6) by the integer part (64), then add the numerator (5) of the fractional part. 64×6=38464 \times 6 = 384 384+5=389384 + 5 = 389
So, 645664 \frac{5}{6} is equivalent to the improper fraction 3896\frac{389}{6}.
Step 2: Converting to Decimal Form
Now, to express 3896\frac{389}{6} as a decimal, we divide the numerator by the denominator. 389÷6=64.8333…389 \div 6 = 64.8333\ldots
So, 645664 \frac{5}{6} is approximately equal to 64.83 (rounded to two decimal places).
Step 3: Final Answer
Thus, the value of 645664 \frac{5}{6} is approximately 64.83 in decimal form.
Explanation
The mixed fraction 645664 \frac{5}{6} represents the number 64 plus 56\frac{5}{6} of 1. Converting a mixed number to an improper fraction simplifies operations when performing mathematical operations such as addition, subtraction, multiplication, or division. It is often useful to convert to improper fractions because it allows the operation to be performed directly with fractions, avoiding potential confusion with separate integer and fractional parts.
The decimal form of 645664 \frac{5}{6} can be found through division, which allows the fraction to be represented as a repeating decimal. In practice, the repeating decimal can be rounded to the desired level of precision.