Question

3 9/10 - (2 - 1 11/35) : 9/49 + 1/2​

Answer 1

$3\frac{9}{10} - (2-1\frac{11}{35} ):\frac{9}{49} +\frac{1}{2} =$$\frac{2}{3}$

$2-1\frac{11}{35} =\frac{70-46}{35} =\frac{24}{35}$

$2) \frac{24}{35} : \frac{9}{49} = \frac{56*21}{15*21} =\frac{56}{15} =3\frac{11}{15}$

$3)3\frac{9}{10} -3\frac{11}{15} =\frac{1}{6}$

$4)\frac{1}{6} +\frac{1}{2} =\frac{2}{3}$

Answer 2

To simplify the expression:

3 9/10 - (2 - 1 11/35) : 9/49 + 1/2

Let's break it down step by step:

1. Convert all mixed numbers to improper fractions: 3 9/10 = (3 * 10 + 9) / 10 = 39/10 1 11/35 = (1 * 35 + 11) / 35 = 46/35

So the expression becomes:

(39/10) - (2 - 46/35) / (9/49) + 1/2

2. Perform the subtraction inside the parentheses:

39/10 - (2 - 46/35) / (9/49) + 1/2

3. Perform the subtraction inside the second set of parentheses:

39/10 - (70/35 - 46/35) / (9/49) + 1/2

4. Simplify the subtraction inside the parentheses:

39/10 - (24/35) / (9/49) + 1/2

5. Invert and multiply to divide by a fraction (a/b ÷ c/d = (a/b) * (d/c)):

39/10 - (24/35) * (49/9) + 1/2

6. Simplify the multiplication:

39/10 - (24/35) * (49/9) + 1/2 = 39/10 - (1176/315) + 1/2

7. Find a common denominator (in this case, 315):

(39/10) - (1176/315) + (157.5/315)

8. Make all fractions have the same denominator:

(39/10) - (1176/315) + (157.5/315)

9. Subtract the fractions:

(39/10) - (1176/315) + (157.5/315) = (1365/315) - (1176/315) + (157.5/315)

10. Add and subtract the fractions:

(1365/315 - 1176/315 + 157.5/315)

11. Combine the fractions:

(1365 - 1176 + 157.5) / 315

12. Perform the arithmetic:

(345.5) / 315

13. Simplify the fraction:

(69/63)

14. Further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

(23/21)

So the simplified expression is 23/21.