How to write the ratio of the amount of time spent playing video games to the amount of time spent watching television

You can write it just as given:

... (time spent in video games)/(time spent in television) = (10 minutes)/(1 hour)

However, the intent is to end with a pure number (no units), so we need to convert hours to minutes or vice versa. Most folks know that 1 hour is 60 minutes, so that is probably the easier conversion.

... = (10 minutes)/(60 minutes)

... = 10/60 . . . . . . . . . the units in numerator and denominator are the same, so cancel

... = 1/6 . . . . . . . . . . . .the fraction is reduced in the usual way

The ratio in simplest form is 1/6.

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.