Find the difference between 44 and 109.
Answer (2)
Calculate the value of the fraction: 3 109 .
Convert 44 to a fraction with a denominator of 3: 44 = 3 132 .
Subtract the fractions: 3 132 − 3 109 = 3 23 .
The difference between 44 and 3 109 is 3 23 .
Explanation
Understanding the Problem We are asked to find the difference between 44 and 3 109 . This means we need to subtract 3 109 from 44.
Calculating the Fraction First, we need to calculate 3 109 . The result is approximately 36.33.
Subtracting the Values Next, we subtract this result from 44: 44 − 3 109 = 44 − 36.333... .
Converting to a Common Denominator To find the exact difference, we can convert 44 to a fraction with a denominator of 3: 44 = 3 44 × 3 = 3 132 .
Subtracting the Fractions Now we can subtract the fractions: 3 132 − 3 109 = 3 132 − 109 = 3 23 .
Final Answer Therefore, the difference between 44 and 3 109 is 3 23 .
Examples
Understanding differences between numbers, especially fractions, is crucial in many real-life situations. For example, if you are baking a cake and need to adjust a recipe that calls for 3 109 grams of sugar, but you only want to use an amount that results in a difference of 44 grams from another ingredient, you would need to calculate this difference to ensure the recipe turns out correctly. This type of calculation is also useful in budgeting, where you might need to find the difference between your income and expenses, some of which might be fractional amounts.
The difference between 44 and 109 is -65, indicating that 109 is 65 units greater than 44. This is a basic subtraction involving two integers. When subtracting a larger number from a smaller number, the result will be negative.
;
