4/5 x 5/3

Answer 1

To multiply the fractions \( \frac{4}{5} \) and \( \frac{5}{3} \), you multiply the numerators and the denominators:

\[ \frac{4 \times 5}{5 \times 3} = \frac{20}{15} \]

Next, simplify \( \frac{20}{15} \) by finding the greatest common divisor (GCD) of 20 and 15, which is 5:

\[ \frac{20 \div 5}{15 \div 5} = \frac{4}{3} \]

So, \( \frac{4}{5} \times \frac{5}{3} = \frac{4}{3} \).

Answer 2

simplify 440/264 please

Answer 3

To simplify the fraction \(\frac{440}{264}\), we find the greatest common divisor (GCD) of the numerator (440) and the denominator (264).

1. Find the GCD of 440 and 264:

   • The prime factorization of 440:
     • \(440 = 2^3 \times 5 \times 11\)
   • The prime factorization of 264:
     • \(264 = 2^3 \times 3 \times 11\)

   The GCD is obtained by taking the lowest powers of the common prime factors:

   • Common factors are \(2^3\) and \(11\).
   • Thus, \(GCD = 2^3 \times 11 = 8 \times 11 = 88\).

2. Divide both the numerator and the denominator by their GCD: \[ \frac{440 \div 88}{264 \div 88} = \frac{5}{3} \]

Therefore, the simplified form of \(\frac{440}{264}\) is \(\frac{5}{3}\).