Question

(-7 1/3+6 7/8):3/4+(-5 1/4 +4 21/10 ):1 9/20

Answer 1

$( - 7 \frac{1}{3} + 6 \frac{7}{8} ) \div \frac{3}{4} + ( - 5 \frac{1}{4} + 4 \frac{21}{10} ) \div 1 \frac{9}{20} .$

решаем по действиям :

$1) - 7 \frac{1}{3} + 6 \frac{7}{8} = 6 \frac{7}{8} - 7 \frac{1}{3} = \frac{55}{8} - \frac{22}{3} =$

$= \frac{165}{24} - \frac{176}{24} = - \frac{11}{24} .$

$2) - 5 \frac{1}{4} + 4 \frac{21}{10} = 4 \frac{21}{10} - 5 \frac{1}{4} = \frac{61}{10} - \frac{21}{4} =$

$= \frac{122}{20} - \frac{105}{20} = \frac{17}{20} .$

$3) - \frac{11}{24} \div \frac{3}{4} = - \frac{11}{24} \times \frac{4}{3} = - \frac{44}{72} = - \frac{11}{18} .$

$4) \frac{17}{20} \div 1 \frac{9}{20} = \frac{17}{20} \div \frac{29}{20} = \frac{17}{20} \times \frac{20}{29} = \frac{340}{580} =$

$= \frac{17}{29} .$

$5) - \frac{11}{18} + \frac{17}{29} = \frac{17}{29} - \frac{11}{18} = \frac{306}{522} - \frac{319}{522} =$

$= - \frac{13}{522}.$

Ответ :

$- \frac{13}{522} .$

Answer 2

To solve this expression, we'll perform the operations step by step:

Step 1: Evaluate the expression inside each set of parentheses.

1. (-7 1/3 + 6 7/8) = (-22/3 + 55/8) To add these fractions, we need a common denominator, which is 24. So:

(-22/3) + (55/8) = (-22/3) * (8/8) + (55/8) * (3/3) = (-176/24) + (165/24) = (-176 + 165)/24 = -11/24

2. (-5 1/4 + 4 21/10) = (-21/4 + 49/10) To add these fractions, we need a common denominator, which is 20. So:

(-21/4) + (49/10) = (-21/4) * (5/5) + (49/10) * (2/2) = (-105/20) + (98/20) = (-105 + 98)/20 = -7/20

Step 2: Now, let's work on the division operation:

1. (-11/24) ÷ (3/4) = (-11/24) * (4/3) = (-44/72) = -11/18

2. (-7/20) ÷ (1 9/20) = (-7/20) ÷ (29/20) = (-7/20) * (20/29) = -7/29

Step 3: Finally, add the two results from Step 2:

(-11/18) + (-7/29)

To add these fractions, we need a common denominator, which is 522 (18 * 29):

(-11/18) * (29/29) + (-7/29) * (18/18) = (-319/522) + (-126/522) = (-319 - 126)/522 = -445/522

Now, we can simplify the result:

-445/522 = -(5/6)

So, the final answer is: -(5/6)