Question

using appropriate property find 3/13×4/5-7/5-4/5×5/13 which property is this?.

Answer 1

$\dfrac{3}{13} \times \dfrac{4}{5} - \dfrac{7}{5} - \dfrac{4}{5} \times \dfrac{5}{13}$

Starts with the multiplication operation:

$\dfrac{3 \times 4}{13 \times 5} - \dfrac{7}{5} - \dfrac{4 \times 5}{5 \times 13}$

$\dfrac{12}{65} - \dfrac{7}{5} - \dfrac{20}{65}$

Then do the subtraction:

$\dfrac{12}{65} - \dfrac{7 \times 13}{5 \times 13} - \dfrac{20}{65}$

$\dfrac{12}{65} - \dfrac{91}{65} - \dfrac{20}{65}$

$\dfrac{12 - 91 - 20}{65}$

$-\dfrac{99}{65}$