Math  /  Numbers & Operations

QuestionExpress the given fraction as a percent. 2525=%\begin{array}{c} \frac{2}{5} \\ \frac{2}{5}=\square \% \end{array}

Studdy Solution

STEP 1

What is this asking? We need to convert the fraction 2/52/5 into a percentage. Watch out! Remember that percentages are basically fractions with a denominator of 100100.
Don't mix up the numerator and denominator!

STEP 2

1. Convert to Decimal
2. Convert to Percentage

STEP 3

Alright, let's **kick things off** by turning our fraction into a decimal!
We've got 2/52/5, which means we're dividing 22 by 55.
Think of it like splitting two pizzas among five friends.
How much pizza does each friend get?

STEP 4

Let's do the division: 25=2÷5=0.4 \frac{2}{5} = 2 \div 5 = 0.4 So, each friend gets 0.40.4 of a pizza!
That's our **decimal value**.

STEP 5

Now, let's **transform** this decimal into a percentage!
Remember, "percent" means "per hundred." So, to convert a decimal to a percentage, we multiply it by 100100.
It's like saying, "If each friend gets 0.40.4 of a pizza, how many pieces would they get if we had 100100 pizzas?"

STEP 6

Let's **crank those gears**: 0.4100=40 0.4 \cdot 100 = 40 So, our **percentage** is 40%40\%!
If we had 100100 pizzas, each friend would get 4040 whole pizzas!

STEP 7

Therefore, 2/52/5 expressed as a percentage is 40%40\%.

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