Question

using the property a/b =ak/bk fill the blank a) 5/7=?/28=35/?=?/3.5 b) 9/14=4.5/?=?/42=?/3.5

Answer 1

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Answer 2

Answer:

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

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

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

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

So, k = 4

Using property

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

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

Now ,

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

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

So, k = 7

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

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

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

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

So, k = 0.5

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

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

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

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

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

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

So, k = 0.5

Using property

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

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

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

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

So, k =3

Using property

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

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

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

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

So, k =0.25

Using property

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

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

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