Write 22/8 as a mixed number
The Correct Answer and Explanation is :
The correct answer is: ( 2 \frac{3}{4} )
To convert the improper fraction ( \frac{22}{8} ) into a mixed number, we can follow these steps:
Step 1: Divide the Numerator by the Denominator
We start by dividing the numerator (22) by the denominator (8):
[
22 \div 8 = 2 \quad \text{(whole number)}
]
Step 2: Find the Remainder
Next, we find the remainder of this division:
[
22 – (8 \times 2) = 22 – 16 = 6
]
So, the quotient is 2, and the remainder is 6. This tells us that ( \frac{22}{8} ) can be expressed as:
[
2 \frac{6}{8}
]
Step 3: Simplify the Fraction
Now, we should simplify the fractional part, ( \frac{6}{8} ). To simplify, we find the greatest common divisor (GCD) of 6 and 8, which is 2. We divide both the numerator and denominator by their GCD:
[
\frac{6 \div 2}{8 \div 2} = \frac{3}{4}
]
Step 4: Write the Final Mixed Number
Putting it all together, we can express ( \frac{22}{8} ) as a mixed number:
[
2 \frac{3}{4}
]
Conclusion
The mixed number form of ( \frac{22}{8} ) is ( 2 \frac{3}{4} ). This mixed number represents the whole part (2) and the fractional part (3/4) derived from the original improper fraction. Converting improper fractions to mixed numbers can make them easier to interpret, especially in practical applications such as cooking, carpentry, or any scenario requiring precise measurements. Understanding the conversion process helps to deepen one’s grasp of fractions, which is a fundamental concept in mathematics.