Fractions Greater than 1 on a Number Line

Fractions Greater than 1 on a Number Line exercise

• Identify fractions greater than one on a number line.

  Hints

  The number of parts the whole is divided into is the denominator. Here the denominator is 3.

  The numerator is the number of spaces that have been counted to reach the point.

  Solution

  First locate the point, then count the number of spaces to that point.

  Write this number as the numerator or the top part of the fraction.

  Then count how many parts one whole is divided into, and write this as the denominator.

  The final number is the location of the improper fraction on the number line.

• Racing seahorses!

  Hints

  To find the numerator, find how many spaces the sea horse has jumped.

  To find the denominator, look at what each whole has been divided into.

  Solution

  Axel's seahorse has reached $\frac{12}{5}$.

  • First, find how many spaces the seahorse has jumped, and write this as the numerator, 12.
  • Second, look at what the whole is divided into and write this as the denominator, 5.

• Matching improper fractions and mixed numbers.

  Hints

  The numerator is the number of spaces that have been counted to reach the point.

  The number of parts the whole is divided into is the denominator. Here the denominator is 3.

  A mixed number means that there is a whole number plus a fraction. Here the sea horse has moved 1 whole plus another 3 parts out of 7, so it has moved 1 $\frac3 7$.

  Solution

  • The first seahorse is at 2$\mathbf{\frac{3}{4}}$.

  The seahorse has jumped 2 wholes then 3 more parts, so this is the numerator. Each whole is divded into 4 so this is the denominator.

  • The next seahorse is at 1$\mathbf{\frac{4}{6}}$.

  The seahorse has jumped 1 whole then 4 more parts, so this is the numerator. Each whole is divded into 6 so this is the denominator.

  • The third seahorse is at $\mathbf{\frac{5}{3}}$.

  The seahorse has jumped 5 parts, so this is the numerator. Each whole is divded into 3 so this is the denominator.

  • The last seahorse is at $\mathbf{\frac{7}{5}}$.

  The seahorse has jumped 7 parts, so this is the numerator. Each whole is divded into 5 so this is the denominator.

• Identify the seahorses on the number line.

  Hints

  When finding the improper fraction, count the spaces along the number line to the seahorse to find the numerator.

  When finding an improper fraction, look at what the whole has been divided into to find the denominator.

  For a mixed number, first find how many wholes, then how many more spaces to the seahorse.

  Solution

  The seahorse at 1 $\frac2 5$ is green. It has traveled one whole part, plus two more fifths.

  The seahorse at 2 $\frac1 5$ is blue. It has traveled two whole parts, plus one more fifth.

  The seahorse at $\frac9 5$ is pink. It has traveled nine spaces along the number line and each whole is divided into five.

  The seahorse at $\frac{10}{5}$ is yellow. It has traveled ten spaces along the number line and each whole is divided into five.

• Mixed numbers.

  Hints

  First, look at how many wholes the seahorse has travelled.

  Then, look at how many more spaces the seahorse has traveled.

  Solution

  Tank's seahorse has reached 1 $\frac3 7$. It has traveled one whole plus 3 more jumps, and each whole is made of 7 parts.

• Convert between improper fractions and mixed numbers.

  Hints

  Remember that whatever the denominator is, this tells you how many parts the whole is divided into and how many intervals there are between each whole on the number line.

  Remember that the denominator tells us how many parts the whole is divided into, so if 5 is the denominator, $\frac5 5$ would be one whole and $\frac6 5$ would be 1 $\frac1 5$.

  In a mixed number such as 3 $\frac2 3$, there are $\frac3 3$ in a whole so here there would be $\frac9 3$ plus $\frac2 3$ = $\frac{11}{3}$.

  Solution

  1.

  • $\frac{12}{10}$ = 1 $\frac{2}{10}$

  2.

  • $\frac{15}{4}$ = 3 $\frac3 4$

  3.

  • $\frac9 5$ = 1 $\frac4 5$

  4.

  • $\frac{17}{6}$ = 2 $\frac5 6$

  5.

  • 3 $\frac3 9$ = $\frac{30}{9}$

  6.

  • 2 $\frac4 7$ = $\frac{18}{7}$