Question

determine if the following pairs are equal by writing each in their simplest form

3/8 and 375/1000​

Answer 1

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Answer 2

$\huge\color {pink}\boxed{\colorbox{black} { QUESTION}}$

determine if the following pairs are equal by writing each in their simplest form

3/8 and 375/1000

$\huge\color {pink}\boxed{\colorbox{black} { ANSWER}}$

Given pair is equal.

Step-by-step explanation:

Given pair is \frac{3}{8}\:\:and\:\:\frac{375{1000}

83 and 1000 375

To find: If the given pair is equal or not by writing them in simplest form.

Consider first fraction,

3/8

We find HCF of 3 and 8.

3 = 1 × 3

8 = 1 × 8

HCF = 1

So, the simplest form = \frac{3\div1}{8\div1}=\frac{3}{8}

8÷1 3÷1 = 83

Now, 375/100

We find HCF of 375 and 1000

375 = 3 × 5 × 5 × 5

1000 = 2 × 2 × 2 × 5 × 5 × 5

HCF = 5 × 5 × 5 = 125

So, the simplest form = \frac{375\div125}{1000\div125}=\frac{3}{8}

1000÷125

375÷125 = 83

Therefore, Given pair is equal.

Hence, Verified.

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$\sf\red{Thank\:you!}$