A small 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.