Ratios 4
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Question 1 of 4
1. Question
Simplify`60 \text(cents):$2`- (3)`:` (10)
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A ratio compares quantities of the same type given in the same units.First, convert the dollars into cents`$1` `=` `100 \text(cents)` `2xx(100)/1` `=` `200` `60` `:` `200` Finally, divide both sides by their highest common factor`60` `:` `200` `60``divide20` `:` `200``divide20` `20` is the highest common factor `3` `:` `10` `3:10` -
Question 2 of 4
2. Question
Simplify`700 \text(kg):2 \text(t)`- (7)`:` (20)
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Correct!
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A ratio compares quantities of the same type given in the same units.First, convert the tons into kilograms`1 \text(ton)` `=` `1000 \text(kilograms)` `2xx(1000)/1` `=` `2000` `700` `:` `2000` Finally, divide both sides by their highest common factor`700` `:` `2000` `700``divide100` `:` `2000``divide100` `100` is the highest common factor `7` `:` `20` `7:20` -
Question 3 of 4
3. Question
Simplify`1/x:x`Hint
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Great Work!
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A ratio compares quantities of the same type given in the same units.Remove the fraction by cancelling out the denominator`1/x` `:` `x` `1/x``timesx` `:` `x``timesx` Multiply both sides by `x` `1` `:` `x^2` `x/x=1` `1:x^2` -
Question 4 of 4
4. Question
Simplify`8ab:2ac`- (4b)`:` (c)
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Exceptional!
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A ratio compares quantities of the same type given in the same units.Simplify the ratio by dividing common factors to each side.`8ab` `:` `2ac` `8ab``divide2` `:` `2ac``divide2` Divide both sides by `2` `4ab``dividea` `:` `ac``dividea` Divide both sides by `a` `4b` `:` `c` `4b:c`