Question

51/25:(8/25+9/20)-64/35•5/4

Answer 1

$frac{51}{25}$:($frac{8}{25}$ + $frac{9}{20}$) - $frac{64}{35}$*$frac{5}{4}$ = $frac{4}{11}$

1) $frac{8}{25}$+$frac{9}{20}$ = $frac{4*8}{4*25}$+$frac{5*9}{5*20}$ = $frac{32}{100}$+$frac{45}{100}$ = $frac{77}{100}$

2) $frac{51}{25}$:$frac{77}{100}$ = $frac{51*100}{25*77}$ = $frac{51*4}{1*77}$ = $frac{204}{77}$

3) $frac{64}{35}$*$frac{5}{4}$ = $frac{64*5}{35*4}$ = $frac{16*1}{7*1}$ = $frac{16}{7}$

4) $frac{204}{77}$ - $frac{16}{7}$ = $frac{204}{77}$ - $frac{11*16}{11*7}$ = $frac{204}{77}$ - $frac{176}{77}$ = $frac{28}{77}$ = $frac{4}{11}$