Question

5/6+5/18-(3 7/9-2 13/15)

Answer 1

$\frac{5}{6} + \frac{5}{18} - (3 \frac{7}{9} - 2 \frac{13}{15} ) =0.2 \\ 1)3 \frac{7}{9} - 2 \frac{13}{15} = \frac{34}{9} - \frac{43}{15} = \frac{170 - 129}{45} = \frac{41}{45} \\ 2) \frac{5}{6} + \frac{5}{18} = \frac{15 + 5}{18} = \frac{20}{18} \\ 3) \frac{20}{18} - \frac{41}{45} = \frac{50 - 41}{45} = \frac{9}{45} = \frac{1}{5} = 0.2$

Answer 2

To solve this expression, we'll need to simplify the mixed numbers first.

Starting with 3 7/9, we can convert it to an improper fraction:

3 7/9 = (3*9 + 7)/9 = 34/9

Similarly, for 2 13/15:

2 13/15 = (2*15 + 13)/15 = 43/15

Now we can substitute these values back into the original expression and combine like terms:

5/6 + 5/18 - (34/9 - 43/15)

To simplify the expression inside the parentheses, we'll need to find a common denominator:

34/9 = (34/9) * (5/5) = 170/45 43/15 = (43/15) * (3/3) = 129/45

Now we can substitute these values back into the expression:

5/6 + 5/18 - (170/45 - 129/45)

To simplify the expression inside the parentheses, we can subtract the numerators:

170/45 - 129/45 = 41/45

Substituting back:

5/6 + 5/18 - 41/45

To combine the fractions, we'll need to find a common denominator:

5/6 = (5/6) * (15/15) = 75/90 5/18 = (5/18) * (5/5) = 25/90

Now we can substitute these values back into the expression:

75/90 + 25/90 - 41/45

To simplify, we'll need to find a common denominator again:

75/90 = (75/90) * (2/2) = 150/180 25/90 = (25/90) * (2/2) = 50/180

Substituting back:

150/180 + 50/180 - 41/45

To combine the fractions, we can add the numerators:

150/180 + 50/180 - 41/45 = 159/180

Therefore, the final answer is 159/180, which can be simplified to 53/60.