Question

(-4/7+3/5)×(12/5-2/9) simplify
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Answer 1

Answer:

3 1/3 ÷ 5/3 - 1/10 of 2 ½ + 7/4

= (3 × 3 + 1)/3 ÷ 5/3 – 1/10 of (2 × 2 + 1)/2 + 7/4

= 10/3 ÷ 5/3 - 1/10 of 5/2 + 7/4

[‘of’ simplified]

= 10/3 × 3/5 – ½ × ½ + 7/4 [‘÷’ simplified]

= 2/1 - ¼ + 7/4 [‘×’ simplified]

= (2 × 4)/1 × 4) - (1 × 1)/4 × 1) + (7 × 1)/4 × 1)

= 8/4 - ¼ + 7/4

[Now the denominators are same of all the fractions]

= (8 – 1 + 7)/4 [‘+’ and ‘-‘ simplified]

= 14/4

= 7/2

Answer 2

$( \frac{ - 4}{7} + \frac{3}{5} )( \frac{12}{5} - \frac{2}{9} ) \\ \\ = ( \frac{ - 4 \times 5 + 3 \times 7}{35} )( \frac{12 \times 9 - 2 \times 5}{45} ) \\ \\ = ( \frac{ - 20 + 21}{35} )( \frac{108 - 10}{45} ) \\ \\ = ( \frac{1}{35} )( \frac{98}{45} ) \\ \\ = \frac{98}{1575}$

= 14/225