Question

simplify:
4/5 x (125/64+75/48)x5/4x(64/125+48/75)​

Answer 1

Answer:

81/20 OR 4.05

Step-by-step explanation:

4 / 5 \times ( 125 / 64 + 75 / 48 ) \times 5 / 4 \times ( 64 / 125 + 48 / 75 )

\frac{4}{5}\left(\frac{125}{64}+\frac{25}{16}\right)\times \left(\frac{5}{4}\right)\left(\frac{64}{125}+\frac{48}{75}\right)

\frac{4}{5}\left(\frac{125}{64}+\frac{100}{64}\right)\times \left(\frac{5}{4}\right)\left(\frac{64}{125}+\frac{48}{75}\right)

\frac{4}{5}\times \left(\frac{225}{64}\right)\times \left(\frac{5}{4}\right)\left(\frac{64}{125}+\frac{48}{75}\right)

\frac{4\times 225}{5\times 64}\times \left(\frac{5}{4}\right)\left(\frac{64}{125}+\frac{48}{75}\right)

\frac{900}{320}\times \left(\frac{5}{4}\right)\left(\frac{64}{125}+\frac{48}{75}\right)

\frac{45}{16}\times \left(\frac{5}{4}\right)\left(\frac{64}{125}+\frac{48}{75}\right)

\frac{45\times 5}{16\times 4}\left(\frac{64}{125}+\frac{48}{75}\right)

\frac{225}{64}\left(\frac{64}{125}+\frac{48}{75}\right)

\frac{225}{64}\left(\frac{64}{125}+\frac{16}{25}\right)

\frac{225}{64}\left(\frac{64}{125}+\frac{80}{125}\right)

\frac{225}{64}\times \left(\frac{64+80}{125}\right)

\frac{225}{64}\times \left(\frac{144}{125}\right)

\frac{32400}{8000}

\frac{81}{20}