### Video Transcript

Convert the mixed number 10 and four-sevenths to an improper fraction.

The mixed number is 10 and four-sevenths. We call it a mixed number because it’s made up of a whole number plus a fraction. And we need to change this numerator to an improper fraction. In improper fraction, the numerator has a greater value than the denominator. To convert our mixed number to an improper fraction, we’ll first need to convert our whole number, 10, to a fraction. And then we’ll add whatever we get to four-sevenths. We need each of our two pieces to have a common denominator. And in this case, we’ll need them to have a denominator of seven, since our fraction piece already has a denominator of seven.

We need to remember a few things. We first remember that seven over seven is a fraction form of one; seven over seven equals one. We also already know that one times 10 equals 10. So now we think, if we multiplied seven over seven — which equals one — times 10, what would our fraction be? Seven times 10 equals 70. Now we have an improper fraction of 70 over seven. And we add that 70 over seven to four over seven.

Here, we added our numerators 70 plus four, and that equals 74. When we’re adding fractions, our denominator stays the same. So we bring over the seven for a final answer of 74 over seven.