Question

Find ten rational numbers between 1 /4 and 1/3​

Answer 1

Answer:

LCM of 4 and 3 = 12

1×3/4×3 , 1×4/3×4

= 3/12 , 4/12

To find 10 rational no. between 3/12 and 4/12

Multiply numerator and denominator by 10 + 1 = 11

3×11/12×11 , 4×11/12×11

33/132 , 44/132

33/132 < 34/132 < 35/132 < 36/132 .........

Answer 2

Answer:

Rational numbers between $\frac{1}{4}$  and $\frac{1}{3}$ are

                      $\frac{37}{144} , \frac{38}{144},\frac{39}{144} ,\frac{40}{144},\frac{41}{144},\frac{42}{144} , \frac{43}{144},\frac{44}{144} ,\frac{45}{144},\frac{46}{144}$

Step-by-step explanation:

• First we have to take LCM of denominators of given Fractions.
• Then we have to choose suitable multiplier of LCM according the number of rational number we required.
• Then multiply that number on numerator and denominator.
• Hence we get required Rational numbers

LCM of 4 and 3 is 12.

we have to choose 36 that is multiplier of 12.

Multiply 36 on numerator and denominator of the fraction 1 / 4

           $\frac{1}{4} \cdot \frac{36}{36} = \frac{36}{144}$

Now multiply by fraction 1/3 with 48 with denominator and numerator

          $\frac{1}{3} \cdot \frac{48}{48} = \frac{48}{144}$

Now rational numbers between $\frac{36}{144}$ and $\frac{48}{144}$  are

                  $\frac{37}{144} , \frac{38}{144},\frac{39}{144} ,\frac{40}{144},\frac{41}{144},\frac{42}{144} , \frac{43}{144},\frac{44}{144} ,\frac{45}{144},\frac{46}{144},\frac{47}{144}$

#SPJ2