Question

simplify [(1/4)4+(1/4)3]×[(3/5)12÷(3/5)5]​

Answer 1

Answer:1. 3 1/3 ÷ 5/3 - 1/10 of 2 ½ + 7/4

Solution:

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

Step-by-step explanation:

Answer 2

Answer:

$\frac{ - 44}{3}$

Step-by-step explanation:

$( \frac{1}{3} - 2 + \frac{1}{2} - 3) \div \frac{1}{4} - 2 \\ = ( \: \frac{2 - 12 + 3 - 18}{6} ) \div \frac{1}{4} - 2 \\ ( \frac{ - 25}{6} ) \times 4 - 2 \\ = \frac{ - 50}{3} - 2 \\ = \frac{ - 50 - 6}{3} = \frac{ - 44}{3}$

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