5/11 of 66/30 ÷ 1/25 - 16/9

Question

Bytelearn · Accepted Answer

Simplify Fractions Division: First, we need to simplify the expression inside the parentheses, which is the division of 66/30 by 1/25. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. 66/30 ÷ 1/25 = 66/30 * 25/1Perform Multiplication: Now, we perform the multiplication. (66 * 25) / (30 * 1) = 1650 / 30Simplify Result: Next, we simplify the fraction 1650/30 by dividing both the numerator and the denominator by their greatest common divisor, which is 30. 1650 / 30 = 55 / 1 = 55Convert to Common Denominator: Now we need to subtract 16/9 from 55. To do this, we need to find a common denominator. The common denominator for 1 and 9 is 9. So we convert 55 to a fraction with a denominator of 9. 55 = 55/1 = (55*9)/(1*9) = 495/9Subtract Fractions: Now we subtract 16/9 from 495/9. (495/9) - (16/9) = (495 - 16) / 9Perform Subtraction: Perform the subtraction in the numerator. 495 - 16 = 479Find Fraction of Fraction: Now we have 479/9 as the result of the subtraction.Perform Multiplication: Finally, we need to find 5/11 of 479/9. To find a fraction of another fraction, we multiply them. (5/11) * (479/9) = (5 * 479) / (11 * 9)Simplify Final Fraction: Perform the multiplication in the numerator and the denominator. (5 * 479) / (11 * 9) = 2395 / 99The fraction 2395/99 can be simplified if there is a common divisor. However, 2395 and 99 do not have a common divisor other than 1, so the fraction is already in its simplest form.

$\frac{5}{11}$ of $\frac{66}{30} \div \frac{1}{25} - \frac{16}{9}$

Full solution

More problems from Writing from expanded to exponent form

Related topics

511 \frac{5}{11} 115​ of 6630÷125−169 \frac{66}{30} \div \frac{1}{25} - \frac{16}{9} 3066​÷251​−916​

$\frac{5}{11}$ of $\frac{66}{30} \div \frac{1}{25} - \frac{16}{9}$