Mathematics

2 3/4 as an improper fraction and 2 3/4 x 5 in its simplest form

Posted 2 months ago

Answers (2)

Bob Brown 2 months ago

Final answer: To convert 2 3/4 to an improper fraction, multiply the whole number by the denominator and add the numerator. To solve 2 3/4 x 5, convert the mixed number to an improper fraction, then multiply. Finally, simplify the resulting fraction. Explanation: To convert 2 3/4 to an improper fraction, we multiply the whole number (2) by the denominator (4) and add the numerator (3) to get the new numerator. The denominator remains the same. So, 2 3/4 as an improper fraction is 11/4. To multiply 2 3/4 by 5, we first convert the mixed number to an improper fraction (11/4) and then multiply it by 5. Multiplying fractions is simple - we multiply the numerators and denominators. So, 2 3/4 x 5 = (11/4) x 5 = 55/4. However, the question also asks for the answer in simplest form. To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 55 and 4 is 1. Dividing both numerator and denominator by 1 gives us the simplest form of the fraction. So, 2 3/4 x 5 in its simplest form is 55/4. Learn more about Conversion of mixed numbers to improper fractions and multiplication of fractions

George King 2 months ago

Final answer: To convert 2 3/4 to an improper fraction, multiply the whole number by the denominator and add the numerator. To multiply 2 3/4 by 5 in simplest form, convert the mixed number to an improper fraction and simplify the result. Explanation: To convert the mixed number 2 3/4 to an improper fraction, we first multiply the whole number, 2, by the denominator of the fraction, 4, and add the numerator, 3, to get the new numerator, which is 11. The denominator remains the same. So 2 3/4 as an improper fraction is 11/4. To multiply 2 3/4 by 5, we convert the mixed number to an improper fraction (11/4) and multiply it by 5. Multiply the numerators to get the new numerator, which is 55, and multiply the denominators to get the new denominator, which is 4. So 2 3/4 x 5 = 55/4. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 1. So the simplest form of the fraction is 55/4. Learn more about improper fractions brainly.com/question/41999367 #SPJ2

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