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Put the ratio three-quarters to one-ninth to eight-ninths in its simplest form.
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This is a three-part ratio where each part of the ratio is a fraction.
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Putting it in its simplest form means to express it in the form ๐ to ๐ to ๐, where ๐, ๐, and ๐ are all integers with no common factors.
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In order to convert these three fractions into integers, we need to eliminate the denominators.
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Two of the fractions have a denominator of nine.
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So weโll begin by multiplying each part of the ratio by nine.
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This gives three multiplied by nine over four for the first part of the ratio and the integers one and eight for the second and third parts.
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This simplifies to 27 over four to one to eight.
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This ratio still isnโt in its simplest form as we still have one fraction.
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In order to eliminate this, we need to multiply each part of the ratio by four.
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This gives 27 to four to 32.
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The three parts of the ratio are now all integers.
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And they donโt share any common factors other than one.
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Four and 32 do share common factors of two and four.
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But these arenโt also shared with 27.
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So the ratio in its simplest form is 27 to four to 32.
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This is equivalent to the ratio we started off with as each time we multiplied every part of the ratio by the same numbers.