Question

on monday a team of street sweepers cleaned 1/2 of a city block. tuesday, the team cleaned 3 times as many blocks as on monday. how many city blocks did the street sweepers clean on tuesday? write your answer as a fraction or as a whole or mixed number.

Explanation:

Step1: Identify Monday's work

On Monday, the team cleaned $\frac{1}{2}$ of a city block.

Step2: Determine Tuesday's multiplier

Tuesday, they cleaned 3 times as many blocks as Monday. So we multiply Monday's blocks by 3.

Step3: Calculate Tuesday's blocks

We calculate $3\times\frac{1}{2}$. Using the rule of multiplying a whole number by a fraction ($a\times\frac{b}{c}=\frac{a\times b}{c}$), we get $\frac{3\times1}{2}=\frac{3}{2}$. Converting $\frac{3}{2}$ to a mixed number, we divide 3 by 2: 3 ÷ 2 = 1 with a remainder of 1, so it is $1\frac{1}{2}$.

Answer:

$\frac{3}{2}$ (or $1\frac{1}{2}$)