Question

The square below represents one whole.

Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
percent
​

Answer 1

The fraction is: 44/100

The Decimal is: 0.44

Percent: 44%

____________________________________________________________

Fraction

• The square is split into 100 equal pieces. 44 of the 100 pieces are shaded. so you can write the fraction as 44/100

______________________________________

Decimal

• 44/100 can also be expressed 44 hundredths. Let's use a place value chart to write 44 hundredths as a decimal.

________________________________

| tens | ones | . | tenths | hundredths |

|_____|___0__|_._|___4__| 4 |

______________________________________

Percent

• The ratio of shaded pieces to total pieces 44:100.percent means per hundred so, we can write the percent as 44%.

Answer 2

`\text{Shaded area as fraction}=(81)/(100)`

`\text{Shaded area as decimal}=0.81`

`\text{Shaded area as percent of the whole}=81\%`

Explanation:

Please consider the attached image as the given square.

We are asked to express the shaded area as a fraction, a decimal, and a percent of the whole.

We can see that in our figure there are 100 squares as there are 10 rows and each row contains 10 squares.

We can also see that there are 81 shaded squares out of 100 squares, so we can represent it as a fraction as:

`\frac{\text{Shaded squares}}{\text{Total squares}}`

`\text{Shaded area as fraction}=(81)/(100)`

To convert the shaded area into decimal, we need to divide 81 by 100.

`\text{Shaded area as decimal}=0.81`

To convert the shaded area into percent, we need to multiply 0.81 by 100.

`\text{Shaded area as percent of the whole}=0.81* 100\%`

`\text{Shaded area as percent of the whole}=81\%`