What is the collude of [tex]$x$[/tex], where [tex]$x=1 \frac{1}{7} \times 2$[/tex]?
Answer (1)
Convert the mixed number to an improper fraction: 1 7 1 = 7 8 .
Multiply the improper fraction by 2: 7 8 × 2 = 7 16 .
The value of x is 7 16 .
Explanation
Understanding the problem We are given the expression x = 1 7 1 × 2 and we need to find the value of x .
Converting to improper fraction First, we convert the mixed number 1 7 1 to an improper fraction. To do this, we multiply the whole number part (1) by the denominator (7) and add the numerator (1). This gives us 1 × 7 + 1 = 8 . So, 1 7 1 = 7 8 .
Multiplying by 2 Now, we multiply the improper fraction 7 8 by 2: x = 7 8 × 2 = 7 8 × 2 = 7 16 .
Final Answer The value of x is 7 16 .
Examples
Understanding fractions and mixed numbers is crucial in everyday situations, such as cooking and baking. For example, if a recipe calls for 1 7 1 cups of flour and you want to double the recipe, you need to multiply 1 7 1 by 2, which results in 7 16 cups of flour. This skill is essential for accurately scaling recipes and ensuring the desired outcome.
