Aconstruction worker has rope 9 m long he needs to cut it in pieces that are each 3 /5 m long how many such pieces can he cut without having any rope leftover?

Dividing a whole number and an improper fraction seems tricky, but it just has one or two more steps than the normal process.  First, convert the whole number "9" into a fraction by giving it a denominator of "1".  It should look like 9/1.  Now that both numbers are converted into like formats (improper fractions), you should have 9/1 divided by 5/3.

Second, flip 5/3 over into 3/5 - this is the "reciprocal". Now you have 9/1 divided by 3/5.  It's just a matter of multiplying across the math sentence.  Multiply the numerators (9x3) and the denominators (1 x 5).  Your new fraction should be 27/5.  This is your answer in the improper fraction format.

You can create other formats depending on the expected answer.  For a mixed number, "divide your fraction UP" (27 divided by 5) which gives you 5 and 2/5.  This can be further converted into 5.4 if you need your answer in decimal form.

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: