What is greater 1 4/6 or 1 14/21

They’re the same.

Give them common denominators by looking at their least common multiples. 6 and 21 are the denominators and they have to be the same to compare. Their least common multiple is 42.

So 1 4/6 will turn into 1 28/42. I know this because their least common multiple is 42. So I multiplied the 6 by 7 to get 42 as the denominator and you must also multiply the numerator by 6.

1 14/21 will need to be multiplied by 2 to get a denominator of 42. It will turn into 1 28/42. Both simplify down to 1 2/3.

The are the same.

Step-by-step explanation:

Because both begin with a 1, ignore that for now.

You have 4/6 and 14/21. Do your best to reduce each. Think about a number that can go into each.

Start with 4/6. They are both even numbers, so 2. 4/2 =  2 and 6/2 = 3

so 4/6 can be reduced to 2/3.

14/21 is trickier, one is odd and the other is even, so no even number will work. 3 can't go in to 14, or 5, but 7 can, and cool! 7 can go in to 21 as well!

14/7 = 2   21/7 = 3    so 14/21 can be reduced to 2/3!

You can also use a common denominator, but you need a calculator for this problem. To solve that way you would take 4/6 and multiply by 21/21 and you would multiply 14/21 by 6/6, this way you'll end up with 126 on the bottom, and you'll see you get 84 on the top.

This is much harder without a calculator. Always try and reduce first, because if you end up having to find a common denominator, it will be smaller and more manageable.

step-by-step explanation:

just plug in each number for x and see which ones work and don't

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.