Question

1) A picture is 7 3/5 cm wide. How much should it be trimmed to fit in a frame 7 3/10 cm wide?

2) What should be added to 7 3/5 to get 18 ?

3) What should be added to 7 4/15 to get 8 2/5?

4) Of 2/3 and 5/9, which is greater and by how much?​

Answer 1

Answer:

1. 3/10
2. 10+(2/5)
3. 1+(2/15)
4. 2/3. By 1/9

Step-by-step explanation:

1)

$7 \frac{3}{5} - 7 \frac{3}{10} = \frac{7 \times 5 + 3}{5} - \frac{7 \times 10 + 3}{10} = \frac{38}{5} - \frac{73}{10} = \frac{38 \times 2}{5 \times 2} - \frac{73}{10} = \frac{76}{10} - \frac{73}{10} = \frac{3}{10}$

2)

$18 - 7 \frac{3}{5} = 18 - \frac{38}{5} = \frac{18}{1} - \frac{38}{5} = \frac{90}{5} - \frac{38}{5} = \frac{90 - 38}{5} = \frac{52}{5} = 10 \frac{2}{5}$

3)

$8 \frac{2}{5} - 7 \frac{4}{15} = \frac{8 \times 5 + 2}{5} - \frac{7 \times 15 + 4}{15} = \frac{42}{5} - \frac{109}{15} = \frac{42 \times 3}{5 \times 3} - \frac{109}{15} = \frac{126}{15} - \frac{109}{15} = \frac{126 - 109}{15} = \frac{17}{15} = 1\frac{2}{15}$

4)

$\frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9} \\ \frac{6}{9} - \frac{5}{9} = \frac{1}{9}$

Here 2/3 is greater than 5/9 because 6/9 is the form of 2/3 but with denominator 9.

Their difference is ⅑

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