Question

Draw two identical rectangle. Shade 1 seventh of one rectangle and 1 tenth of the other. Lavel the unit fractions. Use you rectangle to explain why 1/7 is greater than 1/10

Answer 1

1/7 is greater than 1/10 using coordinates and its area of the division concept.

Explanation:

We have to draw two identical rectangles and have to shade them.

Here is the diagram attached with. (With some approximation)

We can see that
`(1)/(7) > (1)/(10)` .

Rectangles are identical.

When we look upon
`(1)/(10)` it can be observed that each division on the coordinate plane have 2 boxes only...

Where as
`(1)/(7)` fraction consists more than 2 boxes ..

So we can say that the area covered for each division in
`(1)/(7)` is more than that of
`(1)/(10)` .

Mathematical concept:

If the numerator are same then to compare fractions we look upon denominators values.

Greater the denominator lesser is the fraction values.

So,

Finally we can say that 1/7 is greater than 1/10 .