In each box, circle the number that is greater. One and a half or 1.2, one and a quarter or 1.3, one and five hundredths or 1.4, one and three-fifths or 1.5.
We’re being asked to compare two different types of numbers, numbers with fractions and numbers with decimals. We could make it easier to compare these numbers by converting the fractions into decimals. We write one and a half as 1.5. Which is greater, 1.5 or 1.2? 1.5 has five-tenths. 1.2 has two-tenths. So one and a half is greater.
Moving on to the second pair of numbers, we write one and a quarter as 1.25. Three-tenths are greater than two-tenths. So 1.3 is the greater. Which is greater, one and five hundredths or 1.4? We write one and five hundredths as 1.05. Four-tenths is greater than no tenths. So 1.4 is the greater number.
Which is greater, one and three-fifths or 1.5? One-fifth is equal to 0.2. So three-fifths would be 0.6. So one and three-fifths is 1.6. Six -tenths is greater than five-tenths. So one and three-fifths is the greater number. So the numbers which are greater are one and a half, 1.3, 1.4, and one and three-fifths. To help us compare the fraction and the decimal in each pair, we converted the fractions to decimals.