We want to determine whether the given square box is be big enough for Dion's pizza. To do so, we will rewrite the given mixed number as a fraction, convert it to a decimal, and, finally, compare both numbers. First, let's take a look at the given picture.
As we can see from the graph, the box is 10.38 inches wide. Keep in mind that it is a square, which means each side has the same length. From the exercise, we also know that the diameter of Dion's pizza is 10 13 inches. To compare these numbers, we will first rewrite 10 13 as a fraction. Let's do it!
10 13 written as a decimal is equal to 313. Now, to write this number in decimal form, we need to divide the numerator, 31, by the denominator, 3. Let's do it!
Notice that the products and remainders repeat, so the remainder will never be 0. Because of this, we can say that 10 13 written in decimal form is a repeating decimal equal to 10.3, or 10.3.... This means that the diameter of the pizza is smaller than the width of the box. Because of this, we can say that the pizza will fit in the box.
