3\/5 – 1\/3 give your answer as a fraction in its simplest form<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve the problem ( \\frac{3}{5} – \\frac{1}{3} ) and express the answer in its simplest form, we need to follow several steps involving finding a common denominator, performing the subtraction, and then simplifying the result if necessary.<\/p>\n\n\n\n The denominators in our fractions are 5 and 3. To perform the subtraction, we need a common denominator, which is the least common multiple (LCM) of these two numbers. The multiples of 5 are 5, 10, 15, 20, etc., and the multiples of 3 are 3, 6, 9, 12, 15, etc. The smallest common multiple is 15. Therefore, our common denominator will be 15.<\/p>\n\n\n\n Next, we convert each fraction to an equivalent fraction with the common denominator of 15:<\/p>\n\n\n\n Now that both fractions have the same denominator, we can subtract them:<\/p>\n\n\n\n [ The fraction ( \\frac{4}{15} ) is already in its simplest form since 4 and 15 have no common factors other than 1.<\/p>\n\n\n\n Thus, the result of the subtraction ( \\frac{3}{5} – \\frac{1}{3} ) is:<\/p>\n\n\n\n [ This method illustrates the importance of finding a common denominator when performing operations on fractions and demonstrates how to ensure that the final result is expressed in its simplest form.<\/p>\n","protected":false},"excerpt":{"rendered":" 3\/5 – 1\/3 give your answer as a fraction in its simplest form The Correct Answer and Explanation is : To solve the problem ( \\frac{3}{5} – \\frac{1}{3} ) and express the answer in its simplest form, we need to follow several steps involving finding a common denominator, performing the subtraction, and then simplifying the 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1: Find a Common Denominator<\/h3>\n\n\n\n
Step 2: Convert Each Fraction<\/h3>\n\n\n\n
\n
[
\\frac{3}{5} = \\frac{3 \\times 3}{5 \\times 3} = \\frac{9}{15}
]<\/li>\n\n\n\n
[
\\frac{1}{3} = \\frac{1 \\times 5}{3 \\times 5} = \\frac{5}{15}
]<\/li>\n<\/ul>\n\n\n\nStep 3: Perform the Subtraction<\/h3>\n\n\n\n
\\frac{9}{15} – \\frac{5}{15} = \\frac{9 – 5}{15} = \\frac{4}{15}
]<\/p>\n\n\n\nStep 4: Simplify if Necessary<\/h3>\n\n\n\n
Final Answer<\/h3>\n\n\n\n
\\boxed{\\frac{4}{15}}
]<\/p>\n\n\n\n