Question
cindy bought 7/8 yard of ribbon at the store Ally bought 4/5 the length of ribbon as cindy how many yards of ribbon did Ally buy
Answers
Answered by
GPT-4o mini
To find out how many yards of ribbon Ally bought, we can calculate \( \frac{4}{5} \) of the length of ribbon Cindy bought, which is \( \frac{7}{8} \) yards.
First, we will multiply \( \frac{4}{5} \) by \( \frac{7}{8} \):
\[
\text{Ally's ribbon} = \frac{4}{5} \times \frac{7}{8}
\]
To multiply these fractions, we multiply the numerators together and the denominators together:
\[
\text{Ally's ribbon} = \frac{4 \times 7}{5 \times 8} = \frac{28}{40}
\]
Now, we can simplify \( \frac{28}{40} \). The greatest common divisor (GCD) of 28 and 40 is 4, so we divide both the numerator and the denominator by 4:
\[
\frac{28 \div 4}{40 \div 4} = \frac{7}{10}
\]
Thus, Ally bought \( \frac{7}{10} \) yards of ribbon.
First, we will multiply \( \frac{4}{5} \) by \( \frac{7}{8} \):
\[
\text{Ally's ribbon} = \frac{4}{5} \times \frac{7}{8}
\]
To multiply these fractions, we multiply the numerators together and the denominators together:
\[
\text{Ally's ribbon} = \frac{4 \times 7}{5 \times 8} = \frac{28}{40}
\]
Now, we can simplify \( \frac{28}{40} \). The greatest common divisor (GCD) of 28 and 40 is 4, so we divide both the numerator and the denominator by 4:
\[
\frac{28 \div 4}{40 \div 4} = \frac{7}{10}
\]
Thus, Ally bought \( \frac{7}{10} \) yards of ribbon.
Answer
0.08 as a percent
Answered by
GPT-4o mini
To convert a decimal to a percent, you multiply the decimal by 100 and add the percent sign (%).
So, to convert 0.08 to a percent:
\[
0.08 \times 100 = 8
\]
Therefore, \( 0.08 \) as a percent is \( 8\% \).
So, to convert 0.08 to a percent:
\[
0.08 \times 100 = 8
\]
Therefore, \( 0.08 \) as a percent is \( 8\% \).
Answer
what is a fraction
Answered by
GPT-4o mini
A fraction is a way of representing a part of a whole or a division of quantities. It consists of two numbers: the numerator and the denominator.
- **Numerator**: The number on the top of the fraction, which indicates how many parts are being considered.
- **Denominator**: The number on the bottom of the fraction, which indicates into how many equal parts the whole is divided.
For example, in the fraction \( \frac{3}{4} \):
- The numerator is 3, meaning 3 parts are being considered.
- The denominator is 4, meaning the whole is divided into 4 equal parts.
Fractions can represent proper parts (where the numerator is less than the denominator, like \( \frac{3}{4} \)), improper parts (where the numerator is greater than the denominator, like \( \frac{5}{3} \)), and mixed numbers (which combine a whole number and a fraction, like \( 1 \frac{1}{2} \)). Fractions can also be simplified or converted into decimals or percentages.
- **Numerator**: The number on the top of the fraction, which indicates how many parts are being considered.
- **Denominator**: The number on the bottom of the fraction, which indicates into how many equal parts the whole is divided.
For example, in the fraction \( \frac{3}{4} \):
- The numerator is 3, meaning 3 parts are being considered.
- The denominator is 4, meaning the whole is divided into 4 equal parts.
Fractions can represent proper parts (where the numerator is less than the denominator, like \( \frac{3}{4} \)), improper parts (where the numerator is greater than the denominator, like \( \frac{5}{3} \)), and mixed numbers (which combine a whole number and a fraction, like \( 1 \frac{1}{2} \)). Fractions can also be simplified or converted into decimals or percentages.
Answer
is it like numerator divided by denominator
Answered by
GPT-4o mini
Yes, exactly! A fraction represents the operation of division where the numerator is divided by the denominator.
In mathematical terms:
\[
\text{Fraction} = \frac{\text{Numerator}}{\text{Denominator}} \quad \Rightarrow \quad \text{Value of the fraction} = \text{Numerator} \div \text{Denominator}
\]
For example, in the fraction \( \frac{3}{4} \):
- The numerator is 3.
- The denominator is 4.
So, the value of the fraction \( \frac{3}{4} \) can be expressed as:
\[
3 \div 4 = 0.75
\]
This means that \( \frac{3}{4} \) is equal to 0.75 in decimal form.
In mathematical terms:
\[
\text{Fraction} = \frac{\text{Numerator}}{\text{Denominator}} \quad \Rightarrow \quad \text{Value of the fraction} = \text{Numerator} \div \text{Denominator}
\]
For example, in the fraction \( \frac{3}{4} \):
- The numerator is 3.
- The denominator is 4.
So, the value of the fraction \( \frac{3}{4} \) can be expressed as:
\[
3 \div 4 = 0.75
\]
This means that \( \frac{3}{4} \) is equal to 0.75 in decimal form.
Answer
1/3 divided by 3
Answered by
GPT-4o mini
To divide the fraction \( \frac{1}{3} \) by 3, you can rewrite the whole number as a fraction. In this case, 3 can be expressed as \( \frac{3}{1} \).
So, dividing \( \frac{1}{3} \) by 3 is the same as multiplying \( \frac{1}{3} \) by the reciprocal of \( \frac{3}{1} \):
\[
\frac{1}{3} \div 3 = \frac{1}{3} \times \frac{1}{3}
\]
Now, multiply the numerators and the denominators:
\[
\frac{1 \times 1}{3 \times 3} = \frac{1}{9}
\]
So, \( \frac{1}{3} \div 3 = \frac{1}{9} \).
So, dividing \( \frac{1}{3} \) by 3 is the same as multiplying \( \frac{1}{3} \) by the reciprocal of \( \frac{3}{1} \):
\[
\frac{1}{3} \div 3 = \frac{1}{3} \times \frac{1}{3}
\]
Now, multiply the numerators and the denominators:
\[
\frac{1 \times 1}{3 \times 3} = \frac{1}{9}
\]
So, \( \frac{1}{3} \div 3 = \frac{1}{9} \).
Answer
what divided by 6 = 0.2
Answered by
GPT-4o mini
To find what number divided by 6 equals 0.2, you can set up the equation:
\[
\frac{x}{6} = 0.2
\]
To solve for \( x \), multiply both sides of the equation by 6:
\[
x = 0.2 \times 6
\]
Calculating the right side:
\[
0.2 \times 6 = 1.2
\]
Thus, the answer is:
\[
x = 1.2
\]
So, **1.2 divided by 6 equals 0.2**.
\[
\frac{x}{6} = 0.2
\]
To solve for \( x \), multiply both sides of the equation by 6:
\[
x = 0.2 \times 6
\]
Calculating the right side:
\[
0.2 \times 6 = 1.2
\]
Thus, the answer is:
\[
x = 1.2
\]
So, **1.2 divided by 6 equals 0.2**.