# Unit conversion word problem: yards to inches | Introduction to algebra | Algebra I | Khan Academy

The question now is how many inches is 4 and a half yards? We can find it in several ways First, we can see how many inches are in 4 yards How many inches is there in a half yard? This is 4 + 1/2 yard Or we can turn this into an incorrect fraction first and then turn But before I do that, let’s think about how many inches there is in the yard If I have one yard We know there are 3 feet Per one yard Why multiply by 3? The simplest way to think is Here we will get more value And also we will get These units will be deleted So the yard is deleted with the yard Thus we have 1 yard = 3 feet Now how many inches is in one foot? We know there are 12 inches per one foot The same logic we follow here Inch is a small unit of measurement So it makes sense to multiply by 12 3 feet is going to be many inches, so we multiply by 12 These units are also deleted Filed in the numerator, and presented in the denominator 3 x 12 ÷ 1 = 36 inches You may already know this, but it is a good idea to delete the dimensions So We now know that 1 yard = 36 inches Or there are 36 inches per yard Now we can either split this Or we turn it into an incorrect fracture First I’ll cut it into 4 yards + 1/2 yard 4 yards = 4 x 36 inches / yard Yd is deleted with yd 4 x 36 = 144 inches That’s 4 yards Hence if we move to 1/2 yard 1/2 yard x 36 inch / yard The yard is deleted 1/2 x 36 = 18 inches So 4 yards and a half is equivalent to 4 yards + 1/2 yard This is equivalent 144 inch + 18 inch What will give us 162 inches Another way to solve is To turn this into an incorrect fracture And then we hit If I have 4 1/2 of anything Then 4 equals 8/2 4 1/2 is equivalent to 4 + 1/2 4 equals 1/4 + 1/2 The common denominator is 2 So 1/4 equals 8/2 + 1/2 This is 9/2 The simple solution is 4 x 2 = 8, and 8 + 1 = 9 This is what gave us 9/2 So we have 9/2 yards, and that’s what we need to convert into inches 9/2 yard x 36 inch / yard Yard in the numerator, and yard in the place And we have 9/2 x 36/1 inch Divide both the numerator and denominator by 2 9 x 36/2 inch Outside the division gives us 9 x 18 This equals 162 inches So all of this has been simplified to 162 inches And we’re done!

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