Asmall lizard is five sixth inch long. a larger lizard is 6 and four fifths times larger. how long is the larger lizard?

170/30 inches Larger Lizard

Step-by-step explanation:

Small lizard   5/6 inches long

Larger lizard 6 4/5 times (x) larger than the small lizard 5/6 inches long

Step 1. Try to make everything the same before doing anything else. You can do this by getting rid of the whole number in 6 4/5 :

Use the denominator of this equation 6(4/5 ), which is 5, with the whole number (6) and then the add the numerator (4) to it. Example,   5x6= 30,  30+4=34 ,   you now have   34/5  . Now it is the same as 5/6

Since the size of the larger lizard is 34/5 longer than the size of the small lizard, all you have to do is multiply the fractions together to get your answer;

                     (5/6) x (34/5)= Numerator 5x34=170 , Denominator 5x6=30    

Your answer is: Numerator/Denominator   ===>    170/30  

The larger lizard is 170/30 inches long or, 17/3 inches long.