Question

Which ratio is equivalent to 24/52 ?

Answer 1

Jackie is knitting a scarf and wants to know the unit rate of stitches per inch. If she knits 105 stitches to create a 5-inch section of the scarf, what is the unit rate of stitches per inch?

Answer 2

what is 5/6 divided by 2/3

Answer 3

To find an equivalent ratio to \( \frac{24}{52} \), you can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 24 and 52 is 4.

Now, divide both the numerator and the denominator by 4:

\[
\frac{24 \div 4}{52 \div 4} = \frac{6}{13}
\]

Therefore, an equivalent ratio to \( \frac{24}{52} \) is \( \frac{6}{13} \).

Answer 4

To find the unit rate of stitches per inch, you can divide the total number of stitches by the total number of inches.

Jackie knits 105 stitches for a 5-inch section, so the calculation is:

\[
\text{Unit rate} = \frac{\text{Total stitches}}{\text{Total inches}} = \frac{105 \text{ stitches}}{5 \text{ inches}} = 21 \text{ stitches per inch}
\]

Therefore, the unit rate of stitches per inch is **21 stitches per inch**.

Answer 5

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.

So, to divide \( \frac{5}{6} \) by \( \frac{2}{3} \), we can rewrite it as:

\[
\frac{5}{6} \div \frac{2}{3} = \frac{5}{6} \times \frac{3}{2}
\]

Now, multiply the fractions:

\[
\frac{5 \times 3}{6 \times 2} = \frac{15}{12}
\]

Next, simplify \( \frac{15}{12} \). The GCD of 15 and 12 is 3.

Dividing the numerator and the denominator by their GCD:

\[
\frac{15 \div 3}{12 \div 3} = \frac{5}{4}
\]

So, \( \frac{5}{6} \div \frac{2}{3} = \frac{5}{4} \).