To find a fraction that is equivalent to $\frac{45}{1}$, we can multiply the numerator and denominator by the same number. Let's multiply both by 2 to get:
$$\frac{45}{1} \times \frac{2}{2} = \frac{45 \times 2}{1 \times 2} = \frac{90}{2}$$
So, $\frac{90}{2}$ is another fraction that is equivalent to $\frac{45}{1}$.
To draw diagrams to show that they are equal, we can use rectangular models. Let's draw a rectangle with an area of 45 square units:
[asy]
unitsize(0.1cm);
draw((0,0)--(0,9)--(5,9)--(5,0)--cycle,linewidth(0.8));
label("45",(2.5,4.5),fontsize(18));
draw((-8,0)--(-8,9)--(-3,9)--(-3,0)--cycle,linewidth(0.8));
label("90",(0.5,4.5),fontsize(18));
label("$\times2$",(-5.5,4.5),fontsize(18));
[/asy]
As shown above, the rectangle on the left has an area of 45 square units, while the rectangle on the right, which is twice as long, has an area of 90 square units. This visually represents the equivalence of the fractions.
Next, let's find the decimal equivalents for both fractions.
$\frac{45}{1}$ as a decimal is simply 45, because the denominator 1 does not affect the value.
For $\frac{90}{2}$, we can divide the numerator by the denominator:
$$\frac{90}{2} = 90 \div 2 = 45$$
So, the decimal equivalent for $\frac{90}{2}$ is also 45.
Lastly, let's find the equivalent percent for both fractions.
$\frac{45}{1}$ as a percent is $45 \times 100\% = 4500\%$.
For $\frac{90}{2}$, the numerator and denominator are both multiplied by 100 to convert it to a percentage:
$$\frac{90}{2} = \frac{90 \times 100\%}{2 \times 100\%} = \frac{9000\%}{200\%} = 45$$
So, the equivalent percent for $\frac{90}{2}$ is also 4500%.
write another fraction that is equivalent to 45. draw diagrams to show that they are equal. then find the equivalent decimals for both fractions and write the equivalent percent.
1 answer