1) 3 : 6 = 4:8: Draw two sets of bars or circles. The first set should have 3 and 6, the second set should have 4 and 8. Each bar or circle in the first set should correspond to a bar or circle in the second set, showing that the proportions are equal.
2) 2:3 = 4:6: Similar to the first, draw two sets of bars or circles. The first set should have 2 and 3, the second set should have 4 and 6. Each bar or circle in the first set should correspond to a bar or circle in the second set, showing that the proportions are equal.
3) 7/4 = 14/8: Draw two fractions. The first fraction should have a numerator of 7 and a denominator of 4. The second fraction should have a numerator of 14 and a denominator of 8. Show that these fractions are equal by drawing an equal number of parts in each fraction.
4) 3/7 = 9/21: Draw two fractions. The first fraction should have a numerator of 3 and a denominator of 7. The second fraction should have a numerator of 9 and a denominator of 21. Show that these fractions are equal by drawing an equal number of parts in each fraction.
5) 8/4 = 2/1: Draw two fractions. The first fraction should have a numerator of 8 and a denominator of 4. The second fraction should have a numerator of 2 and a denominator of 1. Show that these fractions are equal by drawing an equal number of parts in each fraction.
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Answer:
1) 3 : 6 = 4:8: Draw two sets of bars or circles. The first set should have 3 and 6, the second set should have 4 and 8. Each bar or circle in the first set should correspond to a bar or circle in the second set, showing that the proportions are equal.
2) 2:3 = 4:6: Similar to the first, draw two sets of bars or circles. The first set should have 2 and 3, the second set should have 4 and 6. Each bar or circle in the first set should correspond to a bar or circle in the second set, showing that the proportions are equal.
3) 7/4 = 14/8: Draw two fractions. The first fraction should have a numerator of 7 and a denominator of 4. The second fraction should have a numerator of 14 and a denominator of 8. Show that these fractions are equal by drawing an equal number of parts in each fraction.
4) 3/7 = 9/21: Draw two fractions. The first fraction should have a numerator of 3 and a denominator of 7. The second fraction should have a numerator of 9 and a denominator of 21. Show that these fractions are equal by drawing an equal number of parts in each fraction.
5) 8/4 = 2/1: Draw two fractions. The first fraction should have a numerator of 8 and a denominator of 4. The second fraction should have a numerator of 2 and a denominator of 1. Show that these fractions are equal by drawing an equal number of parts in each fraction.