Find Rational numbers between 4/7 and 3/5
Answers
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