Question

(3 3/11 x 1 2/9 - 2 3/8):2 7/16 -6=?​

Answer 1

Ответ:

(3 3/11*1 2/9 - 2 3/8):2 7/16 - 6 = -17911/2816

Answer 2

To solve this expression, let's break it down step by step:

1. Simplify the multiplication inside the parentheses:

   $3 \frac{3}{11} \times 1 \frac{2}{9} - 2 \frac{3}{8}$

   First, convert the mixed numbers to improper fractions:

   $3 \frac{3}{11} = \frac{3 \times 11 + 3}{11} = \frac{36}{11}$

   $1 \frac{2}{9} = \frac{1 \times 9 + 2}{9} = \frac{11}{9}$

   $2 \frac{3}{8} = \frac{2 \times 8 + 3}{8} = \frac{19}{8}$

   Now the expression becomes:

   $\frac{36}{11} \times \frac{11}{9} - \frac{19}{8}$

   Simplify the fractions:

   $\frac{36}{11} \times \frac{11}{9} - \frac{19}{8} = \frac{36}{9} - \frac{19}{8} = 4 - \frac{19}{8}$

   To subtract fractions, they need a common denominator. The common denominator here is 8.

   $4 - \frac{19}{8} = \frac{32}{8} - \frac{19}{8} = \frac{13}{8}$

2. Divide by $2 \frac{7}{16}$:

   $\frac{13}{8} \div \frac{23}{16}$

   To divide fractions, multiply by the reciprocal of the divisor:

   $\frac{13}{8} \times \frac{16}{23}$

   Multiply the numerators and denominators:

   $= \frac{13 \times 16}{8 \times 23} = \frac{208}{184}$

   Simplify the fraction:

   $= \frac{4 \times 52}{4 \times 46} = \frac{52}{46} = \frac{26}{23}$

3. Subtract 6:

   $\frac{26}{23} - 6$

   To subtract a whole number from a fraction, convert the whole number to a fraction with the same denominator:

   $\frac{26}{23} - \frac{6 \times 23}{23} = \frac{26}{23} - \frac{138}{23}$

   Subtract the fractions:

   $= \frac{26 - 138}{23} = \frac{-112}{23}$

So, $(3 \frac{3}{11} \times 1 \frac{2}{9} - 2 \frac{3}{8}) \div 2 \frac{7}{16} - 6 = -\frac{112}{23}$