Math, asked by bertingtobert9058, 1 year ago

Find Rational numbers between 4/7 and 3/5

Answers

Answered by nisha5333
2

Three rational numbers between \frac{3}{5}

5

3

and \frac{4}{7}

7

4

are \frac{201}{350},\ \frac{202}{350},\ \frac{203}{350}

350

201

,

350

202

,

350

203

Step by step explanation:

To find : Three rational numbers between \frac{3}{5}

5

3

and \frac{4}{7}

7

4

?

Solution :

Rational number is defined as the number which can be written in the from of \frac{p}{q}

q

p

where, p and q are integers and q is non-zero.

Rational numbers are terminating and repeating.

To get the rational numbers between \frac{3}{5}

5

3

and \frac{4}{7}

7

4

we have to make their denominator same.

Multiply and divide \frac{3}{5}

5

3

by 70,

\frac{3}{5}=\frac{3\times 70}{5\times 70}=\frac{210}{350}

5

3

=

5×70

3×70

=

350

210

Multiply and divide \frac{4}{7}

7

4

by 50,

\frac{4}{7}=\frac{4\times 50}{7\times 50}=\frac{200}{350}

7

4

=

7×50

4×50

=

350

200

The three rational numbers between \frac{200}{350}

350

200

and \frac{210}{350}

350

210

are \frac{201}{350},\ \frac{202}{350},\ \frac{203}{350}

350

201

,

350

202

,

350

203

Therefore, Three rational numbers between \frac{3}{5}

5

3

and \frac{4}{7}

7

4

are \frac{201}{350},\ \frac{202}{350},\ \frac{203}{350}

350

201

,

350

202

,

350

203

Similar questions