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

11 answers

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.

0.08 as a percent

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 \( 8% \).

what is a fraction

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.

is it like numerator divided by denominator

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.

1/3 divided by 3

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

what divided by 6 = 0.2

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.