Question

4-(3-1 9/15):4/9+2/15

Answer 1

4 - (3 - 1 9/15) : 4/9 + 2/15 =
= 4 - (45/15 - 24/15) : 4/9 + 2/15 =
= 4 - 7/5 : 4/9 + 2/15 =
= 4 - 7/5 • 9/4 + 2/15 =
= 4 - 63/20 + 2/15 =
= 240/60 - 189/60 + 8/60 = 59/60

Answer 2

Let's simplify the expression step by step:

1. Inside the parentheses: $3 - \left(1\frac{9}{15}\right)$

   Convert the mixed number to an improper fraction: $3 - \left(\frac{15}{15} + \frac{9}{15}\right)$

   Combine the fractions inside the parentheses: $3 - \frac{24}{15}$

   Simplify the fraction: $3 - \frac{8}{5}$

2. Subtract the result from 4: $4 - \left(3 - \frac{8}{5}\right)$

   Convert 4 to have the same denominator as $\frac{8}{5}$: $\frac{20}{5} - \left(3 - \frac{8}{5}\right)$

   Combine the fractions inside the parentheses: $\frac{20}{5} - \frac{15}{5} + \frac{8}{5}$

   Combine the terms: $\frac{5}{5} + \frac{8}{5}$

   Simplify the fraction: $1 + \frac{8}{5}$

   Convert the mixed number back to a mixed number: $1\frac{3}{5}$

3. Add the remaining fractions: $1\frac{3}{5} + \frac{4}{9} + \frac{2}{15}$

   Find a common denominator for $\frac{3}{5}$, $\frac{4}{9}$, and $\frac{2}{15}$. The least common denominator is 45.

   Rewrite each fraction with the common denominator: $\frac{9}{9} \times \left(1\frac{3}{5}\right) + \frac{5}{5} \times \frac{4}{9} + \frac{3}{3} \times \frac{2}{15}$

   Combine the fractions: $\frac{9}{45} \times \left(1\frac{3}{5}\right) + \frac{20}{45} + \frac{6}{45}$

   Combine the terms: $\frac{9}{45} \times \frac{8}{5} + \frac{20}{45} + \frac{6}{45}$

   Combine the fractions: $\frac{72}{45} + \frac{20}{45} + \frac{6}{45}$

   Combine the terms: $\frac{98}{45}$

So, the simplified value of the given expression is $1\frac{3}{5} + \frac{4}{9} + \frac{2}{15} = \frac{98}{45}$.