Question

(5/3 + 2 2/5) divided by 1 3/4

I don’t understand how to do this, I keep getting 244/350 but the answer sheet our teacher gave us said the denominator is wrong

Answer 1

( 5/3 + 2 2/5 ) ÷ ( 1 3/4 ) =

( 5×5/3×5 + 2 2×3/5×3 ) ÷ ( 4/4 + 3/4 ) =

( 25/15 + 2 6/15 ) ÷ ( 7/4 ) =

(25/15 + 30/15 + 6/15 ) ÷ ( 7/4 ) =

( 25 + 30 + 6 / 15 ) ÷ ( 7/4 ) =

( 61/15 ) ÷ ( 7/4 ) =

61/15 × 4/7 =

61 × 4 / 15 × 7 =

244 / 105