Free math worksheets

- Count the equal intervals from \(0\) to \(1\) to find the size of one step. - Count ticks from \(0\) to each point. - Simplify fractions and write values greater than \(1\) as mixed numbers if helpful.

1. The interval from \(0\) to \(1\) is divided into \(8\) equal parts, so each tick represents \(\frac{1}{8}\). 2. Point \(A\) is at the third tick: \(A=\frac{3}{8}\). 3. Point \(B\) is at the sixth tick: \(B=\frac{6}{8}=\frac{3}{4}\). 4. Point \(C\) is one eighth past \(1\): \(C=1\frac{1}{8}\). 5. Point \(D\) is six eighths past \(1\): \(D=1\frac{6}{8}=1\frac{3}{4}\).

A) \(\frac{3}{8}\) B) \(\frac{3}{4}\) C) \(1\frac{1}{8}\) D) \(1\frac{3}{4}\)

- Count the equal intervals from \(0\) to \(1\). - Count steps from \(0\) to each point. - Simplify fractions and use a mixed number for a point greater than \(1\).

1. The interval from \(0\) to \(1\) is divided into \(8\) equal parts, so one step represents \(\frac{1}{8}\). 2. Point \(P\) is at \(\frac{2}{8}=\frac{1}{4}\). 3. Point \(Q\) is at \(\frac{7}{8}\). 4. Point \(R\) is at \(\frac{11}{8}=1\frac{3}{8}\).

a) \(8\) equal parts; one step is \(\frac{1}{8}\) b) \(P=\frac{1}{4}\), \(Q=\frac{7}{8}\), \(R=1\frac{3}{8}\)

- Count the equal intervals from \(0\) to \(1\) on each number line. - Use that count as the denominator for one step. - Count steps to each letter, simplify, and convert values greater than \(1\) to mixed numbers.

1. In a), the interval from \(0\) to \(1\) is divided into eighths. Therefore, \(A=\frac{2}{8}=\frac{1}{4}\), \(B=\frac{5}{8}\), \(C=\frac{7}{8}\), and \(D=\frac{9}{8}=1\frac{1}{8}\). 2. In b), the interval from \(0\) to \(1\) is divided into sixths. Therefore, \(E=\frac{2}{6}=\frac{1}{3}\), \(F=\frac{3}{6}=\frac{1}{2}\), \(G=\frac{5}{6}\), and \(H=\frac{7}{6}=1\frac{1}{6}\).

a) \(A=\frac{1}{4}\), \(B=\frac{5}{8}\), \(C=\frac{7}{8}\), \(D=\frac{9}{8}=1\frac{1}{8}\) b) \(E=\frac{1}{3}\), \(F=\frac{1}{2}\), \(G=\frac{5}{6}\), \(H=\frac{7}{6}=1\frac{1}{6}\)

- Count the equal intervals between consecutive whole numbers on each line. - That count gives the denominator for one step. - Count steps to each marker and combine them with the whole number when needed.

1. In a), each step is \(\frac{1}{4}\), so \(A=1\frac{1}{4}\). 2. In b), each step is \(\frac{1}{3}\), so \(B=3\frac{2}{3}\) and \(C=4\frac{1}{3}\). 3. In c), each step is \(\frac{1}{6}\), so \(D=10\frac{5}{6}\). 4. In d), each step is \(\frac{1}{8}\), so \(E=\frac{5}{8}\).

a) \(A=1\frac{1}{4}\) b) \(B=3\frac{2}{3}\), \(C=4\frac{1}{3}\) c) \(D=10\frac{5}{6}\) d) \(E=\frac{5}{8}\)