Fill in the blank:
(i) `9(2)/(3)+…..=19`
(ii) `6(1)/(6)-?=(29)/(30)`
(iii) `7-5(2)/(3)=` ……..
(iv) `(72)/(90)` reduced to simplest from is …..
(v) `(42)/(54)=(7)/(square)`

Answer

Let's solve each part of the question step by step:

### Part (i):
**Equation:** \( 9 \frac{2}{3} + \text{?} = 19 \)

1. Convert \( 9 \frac{2}{3} \) to an improper fraction:
\[ 9 \frac{2}{3} = \frac{27 + 2}{3} = \frac{29}{3} \]

2. Set up the equation:
\[ \frac{29}{3} + \text{?} = 19 \]

3. To isolate the unknown, subtract \( \frac{29}{3} \) from both sides:
\[ \text{?} = 19 - \frac{29}{3} \]

4. Convert 19 to a fraction with a denominator of 3:
\[ 19 = \frac{57}{3} \]

5. Now perform the subtraction:
\[ \text{?} = \frac{57}{3} - \frac{29}{3} = \frac{57 - 29}{3} = \frac{28}{3} \]

### Answer for Part (i):
\[ \text{?} = \frac{28}{3} \]