Here are four fraction cards. Use any three of the cards to make this correct.
We need to choose three fraction cards to place into these boxes. We know the first fraction must be less than the second one and the second fraction is less than the third. So let’s look more closely at the fractions and think about their value.
The first fraction is three-quarters. Three-quarters has been placed on our number line between a half and a whole. Where would we place five-eighths? We know that four-eighths is equal to a half. And if we divide our number line into eight equal parts or eighths, five-eighths would go here. Six twelfths is equal to a half. So we can write six twelfths on our number line here. And if we divide our number line into 16 equal parts or sixteenths, seven sixteenths would go here on the number line.
We placed each of the fractions on the correct place on the number line. And if we read these numbers from left to right, we’re reading them from smallest to largest. So we could say that seven sixteenths is less than six twelfths which is less than five-eighths.
We could also arrange the cards in another three possible ways. Seven sixteenths is less than six twelfths which is less than three-quarters. Or we could say seven sixteenths is less than five-eighths which is less than three-quarters. Or six twelfths is less than five-eighths which is less than three-quarters.