 Hello and welcome to the session. In this session we will discuss the question which says that Philip and Venus want to order their photo frames. Philip has 2 and 2 by 4 yard long ribbon and Venus ribbon is 7 by 4 yard shorter than Philip's ribbon. How long is Venus ribbon? Show it on a number line. Now let us start with the solution of the given question. Now it is given in the question that Philip has 2 and 2 by 4 yard long ribbon and Venus ribbon is 7 by 4 yard shorter than Philip's ribbon. First of all let us find the length of Venus ribbon. Now length of Venus ribbon is equal to length of Philip's ribbon minus 7 by 4 yard as Venus ribbon is 7 by 4 yard shorter than Philip's ribbon. Now length of Philip's ribbon is 2 and 2 by 4 yards. So this is equal to 2 and 2 by 4 minus 7 by 4. Now this can be also written as 2 and 2 by 4 plus of minus 7 by 4. Now we will find the length of Venus ribbon by using a number line. Now here you can see that the fractions have denominator 4. So here we have drawn a number line on which we have divided each unit in four parts such that each part is at a distance of 1 by 4 unit. First of all let us plot 2 and 2 by 4 on a number line. Now this section is positive so we will move 2 and 2 by 4 units to the right of 0 and we will reach at this point the length of Philip's ribbon. Now Venus ribbon is 7 by 4 yard shorter than Philip's ribbon. So we have to subtract 7 by 4 from 2 and 2 by 4. Now 7 by 4 is negative so we will move 4 units to the left of 2 and 2 by 4 and that is representing 1 by 4 unit. So we will move 7 parts that is 1, 2, 3, 4 and 7. This means we have moved 7 by 4 units to the left of 2 and 2 by 4 and we have reached to the point 3 by 4. This means that on subtracting 7 by 4 from 2 and 2 by 4 we are getting 3 by 4 which represents the length of Venus ribbon. So we can write that length of Venus ribbon is equal to 3 by 4 yards. Also we can verify it by using subtraction. Now let us subtract 7 by 4 from 2 and 2 by 4. Now 2 and 2 by 4 will be equal to, now 4 into 2 is 8, 8 plus 2 is 10. So this is 10 by 4 minus 7 by 4 which is equal to, now in the denominator we will have 4 and in the numerator we will have 10 minus which is equal to 3 by 4 and 2 by 4 yards minus 7 by 4 yards is equal to 3 by 4 yards. Hence it is verified length of Venus ribbon is equal to 3 by 4 yards. And this is the solution of the given question. That's all for this session. Hope you all have enjoyed the session.