Question

using the property a/b = ak/bk 45/?​

Answer 1

Answer:

Property : \frac{a}{b}=\frac{ak}{bk}

b

a

=

bk

ak

a) 5/7=?/28=35/?=?/3.5

\frac{5}{7}=\frac{?}{28}

7

5

=

28

?

So, \frac{5}{7}=\frac{?}{7 \times 4}

7

5

=

7×4

?

So, k = 4

Using property

So, \frac{5}{7}=\frac{5 \times 4}{7 \times 4}

7

5

=

7×4

5×4

\frac{5}{7}=\frac{20}{28}

7

5

=

28

20

Now ,

\frac{5}{7}=\frac{35}{?}

7

5

=

?

35

\frac{5}{7}=\frac{5 \times 7}{?}

7

5

=

?

5×7

So, k = 7

So, \frac{5}{7}=\frac{35}{7 \times 7}

7

5

=

7×7

35

\frac{5}{7}=\frac{35}{49}

7

5

=

49

35

Now, \frac{5}{7}=\frac{?}{3.5}

7

5

=

3.5

?

\frac{5}{7}=\frac{?}{7 \times 0.5}

7

5

=

7×0.5

?

So, k = 0.5

\frac{5}{7}=\frac{5 \times 0.5}{7 \times 0.5}

7

5

=

7×0.5

5×0.5

\frac{5}{7}=\frac{2.5}{3.5}

7

5

=

3.5

2.5

So, 5/7=20/28=35/49=2.5/3.5

b)9/14=4.5/?=?/42=?/3.5

\frac{9}{14}=\frac{4.5}{?}

14

9

=

?

4.5

So,\frac{9}{14}=\frac{9 \times 0.5}{?}

14

9

=

?

9×0.5

So, k = 0.5

Using property

So,\frac{9}{14}=\frac{9 \times 0.5}{14 \times 0.5}

14

9

=

14×0.5

9×0.5

\frac{9}{14}=\frac{4.5}{7}

14

9

=

7

4.5

Now ,\frac{9}{14}=\frac{?}{42}

14

9

=

42

?

So,\frac{9}{14}=\frac{?}{14 \times 3}

14

9

=

14×3

?

So, k =3

Using property

So,\frac{9}{14}=\frac{9 \times 3}{14 \times 3}

14

9

=

14×3

9×3

\frac{9}{14}=\frac{27}{42}

14

9

=

42

27

Now ,\frac{9}{14}=\frac{?}{3.5}

14

9

=

3.5

?

So,\frac{9}{14}=\frac{?}{14 \times 0.25}

14

9

=

14×0.25

?

So, k =0.25

Using property

So,\frac{9}{14}=\frac{9 \times 0.25}{14 \times 0.25}

14

9

=

14×0.25

9×0.25

\frac{9}{14}=\frac{2.25}{3.5}

14

9

=

3.5

2.25

So, 9/14=4.5/7=27/42=2.25/3.5

Explanation:

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