Question

\(\dfrac{29}{19}\cdot\dfrac{49}{51}+\dfrac{29}{19}\cdot\dfrac{34}{51}-\dfrac{29}{19}\cdot\dfrac{32}{51}\)

Answer 1

29/19.49/51+29/19.34/51-29/19.32/51

=29/19.(49/51+34/51-32/51)

=29/19.1

=29/19

Answer 2

\(\dfrac{29}{19}.\dfrac{49}{51}+\dfrac{29}{19}.\dfrac{34}{51}-\dfrac{29}{19}.\dfrac{32}{51}\)

\(=\dfrac{29}{19}.\left(\dfrac{49}{51}+\dfrac{34}{51}-\dfrac{32}{51}\right)\)

\(=\dfrac{29}{19}.1\)

\(=\dfrac{29}{19}\)

Answer 3

29/19 . 49/51 + 29/19 . 34/51 - 29/19 . 32/51

= 29/19 .(49/51 + 34/51 - 32/51)

= 29/19 .(83/51 - 32/51)

= 29/19 . 51/51

= 29/19 . 1

= 29/19