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

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.

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 \( 8% \).

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.

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.

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, \( \frac{1}{3} \div 3 = \frac{1}{9} \).

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.