Find the ratio of 450 mL to 1.8 L in simplest form. Are the ratios 6 : 8 and 15 : 20 in proportion? Justify your answer.
Ratio Proportion
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Question

Find the ratio of 450 mL to 1.8 L in simplest form. Are the ratios 6 : 8 and 15 : 20 in proportion? Justify your answer.

KnowledgeBoat · Accepted Answer

To find the ratio, both quantities must be in the same unit. 1.8 L = 1.8 × 1000 = 1800 mL. 450 mL: 1.8 L = 450 : 1800 = HCF of 450 and 1800 : ⇒ 450 = 2 × 32 × 52 ⇒ 1800 = 23 × 32 × 52 ⇒ HCF = 2 × 32 × 52 = 2 × 9 × 25 = 450 The HCF of 450 and 1800 is 450. = = 1 : 4. To check whether 6 : 8 and 15 : 20 are in proportion, we use cross multiplication : Product of extremes = 6 × 20 = 120. Product of means = 8 × 15 = 120. Since the two products are equal (120 = 120), the ratios are in proportion. Hence, the ratio is 1 : 4, and the ratios 6 : 8 and 15 : 20 are in proportion.

Mathematics

Find the ratio of 450 mL to 1.8 L in simplest form. Are the ratios 6 : 8 and 15 : 20 in proportion? Justify your answer.

Ratio Proportion

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