Ratios and fractions both represent relationships between numbers, but they do so in different ways. A ratio compares two quantities, indicating how many times one value contains or is contained by another (e.g., 3:2). In contrast, a fraction represents a part of a whole, expressed as a numerator over a denominator (e.g., 3/5). While fractions can be considered a specific type of ratio (where the denominator is the whole), ratios can encompass broader relationships beyond simple parts of a whole.
Treat the ratios as fractions. One way you can compare them is to convert them to decimal (divide the numerator by the denominator, or the first number of the ratio by the second number), then compare. Another way is to find a common denominator, then compare the numerators.
Yes. In fact, fractions can be thought of as vertical ratios.
To compare ratios, compare the products of the outer terms by the inner terms.
To compare two ratios given in words, first, express each ratio in numerical form for clarity. Then, simplify both ratios if necessary, making it easier to see their relationship. Finally, analyze the simplified ratios to determine which one is larger, smaller, or if they are equal by cross-multiplying or comparing their fractions directly.
Fractions are ratios. Equivalent fractions form a proportion.
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Treat the ratios as fractions. One way you can compare them is to convert them to decimal (divide the numerator by the denominator, or the first number of the ratio by the second number), then compare. Another way is to find a common denominator, then compare the numerators.
Yes. In fact, fractions can be thought of as vertical ratios.
To compare ratios, compare the products of the outer terms by the inner terms.
To compare two ratios given in words, first, express each ratio in numerical form for clarity. Then, simplify both ratios if necessary, making it easier to see their relationship. Finally, analyze the simplified ratios to determine which one is larger, smaller, or if they are equal by cross-multiplying or comparing their fractions directly.
All ratios can be written as fractions.
Fractions are ratios. Equivalent fractions form a proportion.
NO
Convert them to fractions.
The strategies for writing equivalent ratios is the same as writing equivalent fractions.
No, 45 and 54 are not equivalent ratios. To determine if two ratios are equivalent, you can simplify them or compare their fractions. The ratio of 45 to 54 can be simplified to 5:6, while 54 does not simplify to 5, indicating they are not equivalent.
fractions can't be written as a mixed number because it's already a fraction but im not sure about ratios.