Question

fraction cubes worksheet: extending fraction towername:date:part 1: adding fractions with like denominatorsuse fraction cubes to solve the following:1. 1/4 + 1/4 =2. 1/6 + 1/6 + 1/6 =3. 1/8 + 1/8 + 1/8 + 1/8 =part 2: equivalent fractionsuse fraction cubes to find equivalent fractions:1. 2/4 =2. 3/6 =3. 4/8 =part 3: mixed fraction towersbuild a tower using different fraction cubes to make one vwrite the fractions you used:?examples:1/2 + 1/4 + 1/4 = 11/3 + 1/3 + 1/3 = 1try your own:

Explanation:

Part 1: Adding Fractions with Like Denominators

Step1: Apply the rule for adding fractions with the same denominator

When adding fractions with the same denominator \(d\), we use the formula \(\frac{a}{d}+\frac{b}{d}=\frac{a + b}{d}\).

• For \(1/4+1/4\), \(a = 1\), \(b = 1\), \(d=4\). So \(\frac{1+1}{4}=\frac{2}{4}\).
• For \(1/6+1/6+1/6\), \(a = 1\), \(b = 1\), \(c = 1\), \(d = 6\). Using the extended formula \(\frac{a + b + c}{d}\), we get \(\frac{1+1+1}{6}=\frac{3}{6}\).
• For \(1/8+1/8+1/8+1/8\), \(a=b = c=d=1\), \(denominator = 8\). Then \(\frac{1+1+1+1}{8}=\frac{4}{8}\).

Part 2: Equivalent Fractions

Step1: Simplify the fractions

To find equivalent fractions, we divide the numerator and denominator by their greatest - common divisor (GCD).

• For \(2/4\), the GCD of \(2\) and \(4\) is \(2\). Using the formula \(\frac{a\div GCD}{d\div GCD}\), we have \(\frac{2\div2}{4\div2}=\frac{1}{2}\).
• For \(3/6\), the GCD of \(3\) and \(6\) is \(3\). So \(\frac{3\div3}{6\div3}=\frac{1}{2}\).
• For \(4/8\), the GCD of \(4\) and \(8\) is \(4\). Then \(\frac{4\div4}{8\div4}=\frac{1}{2}\).

Answer:

Part 1

1. \(\frac{2}{4}\)
2. \(\frac{3}{6}\)
3. \，\(\frac{4}{8}\)

Part 2

，1. \(\frac{1}{2}\)

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

Part 3 (example)

\(\frac{1}{3}+\frac{1}{6}+\frac{1}{6}=1\) (There are multiple possible answers for Part 3. Another example could be \(\frac{1}{4}+\frac{1}{4}+\frac{1}{2}=1\))