\begin{tabular}{|r|}
\hline$\frac{106}{7}$ \\
$-\frac{1}{2}$
\end{tabular}
Answer (1)
Find a common denominator for the fractions, which is 14.
Rewrite the fractions with the common denominator: 7 106 = 14 212 and 2 1 = 14 7 .
Subtract the fractions: 14 212 − 14 7 = 14 205 .
The final answer is 14 205 .
Explanation
Understanding the Problem We are given a subtraction problem involving two fractions: 7 106 and 2 1 . Our goal is to find the result of the subtraction 7 106 − 2 1 .
Finding a Common Denominator To subtract these fractions, we need to find a common denominator. The least common multiple (LCM) of 7 and 2 is 14.
Rewriting Fractions Now, we rewrite both fractions with the common denominator of 14: 7 106 = 7 × 2 106 × 2 = 14 212 2 1 = 2 × 7 1 × 7 = 14 7
Subtracting the Fractions Now we can subtract the two fractions: 14 212 − 14 7 = 14 212 − 7 = 14 205
Final Answer The result is 14 205 . This is an improper fraction, meaning the numerator is greater than the denominator. We can leave it as an improper fraction or convert it to a mixed number. In this case, we will leave it as an improper fraction.
Examples
Fractions are used in everyday life, such as when cooking, baking, or measuring ingredients. For example, if a recipe calls for 2 1 cup of flour and you only want to make half the recipe, you need to calculate 2 1 of 2 1 , which is 4 1 cup. Understanding how to add, subtract, multiply, and divide fractions is essential for accurate measurements and successful cooking.
