Question

7 1/30 - ( 5 17/45 - 2 2/9) = ?

Answer 1

1)$\frac{242}{45} -\frac{100}{45} =\frac{142}{45}$

2)$\frac{211}{30} - \frac{142}{45} = \frac{633-284}{90} =\frac{349}{90} =3\frac{79}{90}$

Answer 2

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

1. Convert the mixed numbers to improper fractions:

7 1/30 = (7 * 30 + 1) / 30 = 211/30

5 17/45 = (5 * 45 + 17) / 45 = 242/45

2 2/9 = (2 * 9 + 2) / 9 = 20/9

Now, let's substitute these values back into the expression and simplify:

211/30 - (242/45 - 20/9)

To subtract fractions, we need to have a common denominator. The common denominator for 30, 45, and 9 is 90.

Rewriting the expression with the common denominator:

(211/30) - (242/45) - (20/9) becomes

(211/30) - (242/45 * 2/2) - (20/9 * 10/10)

Now, let's simplify each term:

= (211/30) - (484/90) - (200/90) = (211/30) - (484 + 200)/90 = (211/30) - (684/90) = (211/30) - (76/10)

To subtract fractions, we need a common denominator again. The common denominator for 30 and 10 is 30.

= (211/30) - (76/10 * 3/3) = (211/30) - (228/30)

Now, we can subtract:

= (211 - 228)/30 = -17/30

Therefore, the solution to the expression 7 1/30 - (5 17/45 - 2 2/9) is -17/30.