Math / Numbers & Operations

QuestionComplete the table below to show each fraction as a decimal, and each decimal as a fraction. \begin{tabular}{|lc|c|} \hline & Fraction & Decimal \\ \hline a & $\frac{3}{4}$ & \\ \hline b & & 0.20 \\ \hline c & $\frac{3}{100}$ & \\ \hline d & & \\ \hline e & $\frac{6}{10}$ & 0.72 \\ \hline \end{tabular}

Studdy Solution

STEP 1

What is this asking? We need to fill in the missing fractions and decimals in the table, making sure each row has an equivalent fraction and decimal. Watch out! Don't mix up your place values when converting between fractions and decimals!

STEP 2

1. Convert Fractions to Decimals
2. Convert Decimals to Fractions
3. Complete Row d

STEP 3

Alright, let's convert $\frac{3}{4}$ to a decimal!
Remember, a fraction is just a division problem in disguise.
We're dividing 3 by 4.
So, $\frac{3}{4} = 3 \div 4 = 0.75$ Boom! $\frac{3}{4}$ is equal to 0.75!

STEP 4

Now, let's tackle $\frac{3}{100}$ .
This one's a bit easier.
When we divide by 100, we move the decimal point two places to the left.
So, $\frac{3}{100} = 3 \div 100 = 0.03$ $\frac{3}{100}$ is the same as 0.03!

STEP 5

Time to turn 0.20 into a fraction. 0.20 is twenty hundredths, which we can write as: $0.20 = \frac{20}{100}$ We can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 20: $\frac{20}{100} = \frac{20 \div 20}{100 \div 20} = \frac{1}{5}$ So, 0.20 is equivalent to $\frac{1}{5}$ !

STEP 6

Row 'e' has $\frac{6}{10}$ and 0.72.
Something's fishy! $\frac{6}{10}$ is the same as 0.6, not 0.72.
So, one of these must be wrong.
Let's assume the fraction is correct and find the correct decimal.

STEP 7

We already know $\frac{6}{10}$ is equal to 0.6.
Let's write that down. $\frac{6}{10} = 0.6$

STEP 8

Since 0.72 doesn't belong with $\frac{6}{10}$ , it must belong in row d!
Now, we just need to convert 0.72 to a fraction. 0.72 is seventy-two hundredths: $0.72 = \frac{72}{100}$ We can simplify this by dividing the numerator and denominator by 4: $\frac{72}{100} = \frac{72 \div 4}{100 \div 4} = \frac{18}{25}$ So, the missing fraction for row d is $\frac{18}{25}$ !

STEP 9

Here's our completed table:
| Fraction | Decimal | |---|---| | $\frac{3}{4}$ | 0.75 | | $\frac{1}{5}$ | 0.20 | | $\frac{3}{100}$ | 0.03 | | $\frac{18}{25}$ | 0.72 | | $\frac{6}{10}$ | 0.6 |

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Studdy Solution

STEP 1

What is this asking? We need to fill in the missing fractions and decimals in the table, making sure each row has an equivalent fraction and decimal. Watch out! Don't mix up your place values when converting between fractions and decimals!

STEP 2

1. Convert Fractions to Decimals
2. Convert Decimals to Fractions
3. Complete Row d

STEP 3

Alright, let's convert $\frac{3}{4}$ to a decimal!
Remember, a fraction is just a division problem in disguise.
We're dividing 3 by 4.
So, $\frac{3}{4} = 3 \div 4 = 0.75$ Boom! $\frac{3}{4}$ is equal to 0.75!

STEP 4

Now, let's tackle $\frac{3}{100}$ .
This one's a bit easier.
When we divide by 100, we move the decimal point two places to the left.
So, $\frac{3}{100} = 3 \div 100 = 0.03$ $\frac{3}{100}$ is the same as 0.03!

STEP 5

STEP 6

Row 'e' has $\frac{6}{10}$ and 0.72.
Something's fishy! $\frac{6}{10}$ is the same as 0.6, not 0.72.
So, one of these must be wrong.
Let's assume the fraction is correct and find the correct decimal.

STEP 7

We already know $\frac{6}{10}$ is equal to 0.6.
Let's write that down. $\frac{6}{10} = 0.6$

STEP 8

STEP 9

Here's our completed table:
| Fraction | Decimal | |---|---| | $\frac{3}{4}$ | 0.75 | | $\frac{1}{5}$ | 0.20 | | $\frac{3}{100}$ | 0.03 | | $\frac{18}{25}$ | 0.72 | | $\frac{6}{10}$ | 0.6 |

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Studdy Solution

STEP 1

What is this asking? We need to fill in the missing fractions and decimals in the table, making sure each row has an equivalent fraction and decimal. Watch out! Don't mix up your place values when converting between fractions and decimals!

STEP 2

1. Convert Fractions to Decimals2. Convert Decimals to Fractions3. Complete Row d

STEP 3

Alright, let's **convert** 34\frac{3}{4}43​ to a decimal!Remember, a fraction is just a division problem in disguise.We're dividing **3** by **4**.So, 34=3÷4=0.75\frac{3}{4} = 3 \div 4 = 0.7543​=3÷4=0.75 Boom! 34\frac{3}{4}43​ is equal to **0.75**!

STEP 4

Now, let's tackle 3100\frac{3}{100}1003​.This one's a bit easier.When we divide by **100**, we move the decimal point two places to the left.So, 3100=3÷100=0.03\frac{3}{100} = 3 \div 100 = 0.031003​=3÷100=0.03 3100\frac{3}{100}1003​ is the same as **0.03**!

STEP 5

STEP 6

Row 'e' has 610\frac{6}{10}106​ and **0.72**.Something's fishy! 610\frac{6}{10}106​ is the same as **0.6**, not **0.72**.So, one of these must be wrong.Let's assume the fraction is correct and find the correct decimal.

STEP 7

We already know 610\frac{6}{10}106​ is equal to **0.6**.Let's write that down. 610=0.6\frac{6}{10} = 0.6106​=0.6

STEP 8

STEP 9

Here's our completed table:| Fraction | Decimal | |---|---| | 34\frac{3}{4}43​ | 0.75 | | 15\frac{1}{5}51​ | 0.20 | | 3100\frac{3}{100}1003​ | 0.03 | | 1825\frac{18}{25}2518​ | 0.72 | | 610\frac{6}{10}106​ | 0.6 |

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Studdy solves anything!

Start learning now

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1. Convert Fractions to Decimals
2. Convert Decimals to Fractions
3. Complete Row d

Alright, let's convert $\frac{3}{4}$ to a decimal!
Remember, a fraction is just a division problem in disguise.
We're dividing 3 by 4.
So, $\frac{3}{4} = 3 \div 4 = 0.75$ Boom! $\frac{3}{4}$ is equal to 0.75!

Now, let's tackle $\frac{3}{100}$ .
This one's a bit easier.
When we divide by 100, we move the decimal point two places to the left.
So, $\frac{3}{100} = 3 \div 100 = 0.03$ $\frac{3}{100}$ is the same as 0.03!

Row 'e' has $\frac{6}{10}$ and 0.72.
Something's fishy! $\frac{6}{10}$ is the same as 0.6, not 0.72.
So, one of these must be wrong.
Let's assume the fraction is correct and find the correct decimal.

We already know $\frac{6}{10}$ is equal to 0.6.
Let's write that down. $\frac{6}{10} = 0.6$

Here's our completed table:
| Fraction | Decimal | |---|---| | $\frac{3}{4}$ | 0.75 | | $\frac{1}{5}$ | 0.20 | | $\frac{3}{100}$ | 0.03 | | $\frac{18}{25}$ | 0.72 | | $\frac{6}{10}$ | 0.6 |