Question Find a fraction equivalent to \( \frac{4}{1} \) that has a denominator of 6

To find a fraction equivalent to \( \frac{4}{1} \) with a denominator of 6, you can multiply both the numerator and the denominator of \( \frac{4}{1} \) by 6. This gives you \( \frac{4 \times 6}{1 \times 6} = \frac{24}{6} \). So, \( \frac{24}{6} \) is the fraction you're looking for! Now, if you think about it, equivalent fractions are everywhere, especially in cooking! For instance, if a recipe calls for \( \frac{4}{1} \) cups of sugar, but you only have a 6-cup measuring jug, you can easily adjust and measure out \( \frac{24}{6} \) cups without changing the flavor of your dish. It's all about keeping the proportions right! When dealing with fractions and their equivalencies, a common mistake is forgetting that you can multiply or divide both the numerator and the denominator by the same number. This can lead to confusion or incorrect calculations. Always remember: as long as you make the same change to both parts of the fraction, you’ll find your equivalent! So don't shy away from using numbers like 2, 3, or 4 to help you scale fractions up or down.