Question

1) 2/3*(4/7+5)=; 2)(13/18*5/7)*9= ; 3)7*(5/13-4/19)= ; 4)12*5/6+32*1/3= ; 5)30*2/5+20*7/6=; 6)8*13/13-8*7/13=

Answer 1

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Answer 2

Let's solve each of the expressions step by step:

1. 2/3 * (4/7 + 5) = First, evaluate the expression inside the parentheses: 4/7 + 5 = (4/7) + (35/7) = 39/7

Now, multiply by 2/3: 2/3 * (39/7) = (2/3) * (39/7) = 78/21 = 26/7

2. (13/18 * 5/7) * 9 = Multiply the fractions first: (13/18) * (5/7) = (13 * 5) / (18 * 7) = 65 / 126

Now, multiply by 9: (65/126) * 9 = (65 * 9) / 126 = 585 / 126 = 65/14 ≈ 4.6429

3. 7 * (5/13 - 4/19) = First, find a common denominator for the fractions inside the parentheses, which is 13 * 19 = 247:

(5/13) - (4/19) = (95/247) - (52/247) = (95 - 52) / 247 = 43/247

Now, multiply by 7: 7 * (43/247) = (7 * 43) / 247 = 301 / 247 ≈ 1.2189

4. 12 * 5/6 + 32 * 1/3 = Multiply each term: (12 * 5) / 6 + (32 * 1) / 3 = 60 / 6 + 32 / 3 = 10 + 10.6667 ≈ 20.6667

5. 30 * 2/5 + 20 * 7/6 = Multiply each term: (30 * 2) / 5 + (20 * 7) / 6 = 60 / 5 + 140 / 6 = 12 + 23.3333 ≈ 35.3333

6. 8 * 13/13 - 8 * 7/13 = Both fractions have the same denominator, so we can subtract them directly: (8 * 13 - 8 * 7) / 13 = (104 - 56) / 13 = 48 / 13 ≈ 3.6923

I hope these solutions help! If you have any more questions or need further assistance, feel free to ask.