Question

It's 9 4/5 miles from Justin's house to the art museum the distance to the history museum is 9/10 this far

Is the history museum more or less than 9 4/5 miles from Justin's house ?
How far from Justin's house is the history museum ?

Answer 1

The history museum is less that 9 4/5 miles. 9/10 means that the 9 3/4 mile is broken up into 10 equal parts and the distance to the museum is only 9 of those parts. 9 3/4 (9.8) divided by 10 equals 98/100 (.98)
98/100 x 9 = 882/100 or 8.82

Justin's house is 8.82 miles from the museum.

Answer 2

The history museum has less distance from Justin's house, exactly there are 0.90 miles.

Explanation:

Givens

• From Justin's house to the art museum there are 9 4/5 miles distance.
• To the history museum is 9/10 miles.

First, we need to transform the mixed number into a fraction. We do this by mulitiplying the whole part with the denominator and then we sum with the numerator, as follows

`9(4)/(5)=(49)/(5)`

Which means the distance between Justin's house and the art museum is 49/5 miles.

As you can observe , 49/5 miles > 9/10 miles, which means the history museum has less distance from Justin's house, exactly there are 0.90 miles.