Free Math Worksheets

- Count the equal intervals from \(4\) to \(5\). - Determine the value of one step. - Count the steps from \(4\) to the marker.

1. The interval from \(4\) to \(5\) is divided into \(8\) equal parts, so each step is \(\frac{1}{8}\). 2. The marker is three steps to the right of \(4\). 3. Therefore, the marked number is \(4\frac{3}{8}\).

\(4\frac{3}{8}\)

- Count the equal intervals from \(1\) to \(2\). - Count how many eighths each point lies to the right of \(1\). - Combine the whole number with the fractional part.

1. The interval from \(1\) to \(2\) is divided into \(8\) equal parts, so each small interval represents \(\frac{1}{8}\). 2. Point \(A\) is one eighth past \(1\): \(A=\frac{9}{8}=1\frac{1}{8}\). 3. Point \(B\) is five eighths past \(1\): \(B=\frac{13}{8}=1\frac{5}{8}\). 4. Point \(C\) is seven eighths past \(1\): \(C=\frac{15}{8}=1\frac{7}{8}\).

a) \(8\) equal parts; one interval is \(\frac{1}{8}\) b) \(A=\frac{9}{8}=1\frac{1}{8}\), \(B=\frac{13}{8}=1\frac{5}{8}\), \(C=\frac{15}{8}=1\frac{7}{8}\)

- Count the completely filled waffles first. - In the partly filled waffle, count the total equal parts and the filled parts. - Multiply the number of wholes by \(6\), then add the remaining pieces.

1. The picture shows \(2\) whole waffles and \(5\) of the \(6\) pieces of another waffle. This is \(2\frac{5}{6}\). 2. Two whole waffles contain \(2\times6=12\) one-sixth pieces. Including the other \(5\) pieces gives \(12+5=17\) pieces. Therefore, the improper fraction is \(\frac{17}{6}\).

a) \(2\frac{5}{6}\) b) \(17\) one-sixth pieces, or \(\frac{17}{6}\)

- Count the equal intervals from \(0\) to \(1\). - Use that count as the denominator of one step. - Count steps from \(0\) to each marker.

1. The interval from \(0\) to \(1\) is divided into \(4\) equal parts, so one step is \(\frac{1}{4}\). 2. Point \(A\) is two steps from \(0\): \(A=\frac{2}{4}=\frac{1}{2}\). 3. Point \(B\) is five steps from \(0\): \(B=\frac{5}{4}\). 4. Point \(C\) is seven steps from \(0\): \(C=\frac{7}{4}\).

\(A=\frac{1}{2}\), \(B=\frac{5}{4}\), \(C=\frac{7}{4}\)

- Count the completely shaded squares. - Find the fraction shaded in the last square. - A mixed number has a whole-number part and a fractional part.

1. Two squares are completely shaded. 2. The last square is divided into \(4\) equal parts, and \(1\) part is shaded. This is \(\frac{1}{4}\). 3. The mixed number is \(2\frac{1}{4}\).

\(2\frac{1}{4}\)

- Count the complete circles. - Decide whether the last circle is complete. - Compare the number of complete wholes with \(3\).

1. The picture shows \(2\) whole circles and \(\frac{3}{4}\) of another circle, so the value is \(2\frac{3}{4}\). 2. Since it has only \(2\) wholes and part of a third whole, \(2\frac{3}{4}<3\).

The value is less than \(3\) because the picture shows \(2\) whole circles and only \(\frac{3}{4}\) of a third circle.

- Read the mixed number shown in the picture. - Convert the mixed number to an improper fraction. - Compare your fraction with \(\frac{8}{3}\).

1. The picture shows \(2\) wholes and \(\frac{2}{3}\), so the mixed number is \(2\frac{2}{3}\). 2. Convert it to an improper fraction: \(2\frac{2}{3}=\frac{2\times3+2}{3}=\frac{8}{3}\). 3. Therefore, the two values are equal.

The values are equal.