$4 \frac{1}{3}-2 \frac{5}{6} =$
Answer (2)
Convert the mixed numbers to improper fractions: 4 3 1 = 3 13 and 2 6 5 = 6 17 .
Find a common denominator: 3 13 = 6 26 .
Subtract the fractions: 6 26 − 6 17 = 6 9 .
Simplify the fraction and convert to a mixed number: 6 9 = 2 3 = 1 2 1 . The final answer is 1 2 1 .
Explanation
Understanding the Problem We are asked to subtract two mixed numbers: 4 3 1 and 2 6 5 .
Converting to Improper Fractions First, convert the mixed numbers to improper fractions. 4 3 1 = 3 4 × 3 + 1 = 3 12 + 1 = 3 13 2 6 5 = 6 2 × 6 + 5 = 6 12 + 5 = 6 17
Finding a Common Denominator Now, we need to find a common denominator for the two fractions. The least common multiple of 3 and 6 is 6. So, we will convert 3 13 to a fraction with a denominator of 6. 3 13 = 3 × 2 13 × 2 = 6 26
Subtracting the Fractions Now we can subtract the fractions: 6 26 − 6 17 = 6 26 − 17 = 6 9
Simplifying the Fraction Simplify the resulting fraction: 6 9 = 3 × 2 3 × 3 = 2 3
Converting to a Mixed Number Convert the improper fraction back to a mixed number: 2 3 = 1 2 1
Final Answer Therefore, 4 3 1 − 2 6 5 = 1 2 1 .
Examples
Understanding fractions is crucial in everyday situations, such as cooking. Imagine you are doubling a recipe that calls for 4 3 1 cups of flour, but you only have a 2 6 5 cup measuring cup. By calculating the difference, you know exactly how much more flour you need to add to reach the required amount. This simple subtraction ensures your recipe turns out perfectly!
To find the result of 4 3 1 − 2 6 5 , convert the mixed numbers to improper fractions. After obtaining a common denominator and performing the subtraction, the final answer is 1 2 1 .
;
