find four equivalent ratios 12/15
pls step by step explanation
Answers
Answer:
The given ratio is 12151215. Now, we know that we can obtain different equivalent ratios from the given ratio by multiplying a common factor in the numerator and in the denominator. We can choose the factors as we want.
Let us choose 2, 3, 5 and 8 as the common factors, multiplying them in the numerator and the denominator of the given ratio we obtain
Equivalent Ratio of 1215=12×215×2=2430Equivalent Ratio of 1215=12×215×2=2430
Similarly, using 3, we obtain another equivalent ratio as
Equivalent Ratio of 1215=12×315×3=3645Equivalent Ratio of 1215=12×315×3=3645
Using 5 we obtain the ratio as
Equivalent Ratio of 1215=12×515×5=6075Equivalent Ratio of 1215=12×515×5=6075
And using 8 we obtain the ratio as
Equivalent Ratio of 1215=12×815×8=96120Equivalent Ratio of 1215=12×815×8=96120
Thus, we obtain four equivalent ratios of 12151215 to be 24342434, 36453645, 60756075, 9612096120.
Note: In this question, we have taken four arbitrary values to multiply in the numerator and denominator to obtain the equivalent ratios. However, we could have used any other integers or fractions instead of 2, 3, 5 and 8 to obtain new equivalent fractions and all of them would have been valid answers to this question.
Answer:
The given ratio is 12151215. Now, we know that we can obtain different equivalent ratios from the given ratio by multiplying a common factor in the numerator and in the denominator. We can choose the factors as we want.
Let us choose 2, 3, 5 and 8 as the common factors, multiplying them in the numerator and the denominator of the given ratio we obtain
Equivalent Ratio of 1215=12×215×2=2430Equivalent Ratio of 1215=12×215×2=2430
Similarly, using 3, we obtain another equivalent ratio as
Equivalent Ratio of 1215=12×315×3=3645Equivalent Ratio of 1215=12×315×3=3645
Using 5 we obtain the ratio as
Equivalent Ratio of 1215=12×515×5=6075Equivalent Ratio of 1215=12×515×5=6075
And using 8 we obtain the ratio as
Equivalent Ratio of 1215=12×815×8=96120Equivalent Ratio of 1215=12×815×8=96120
Thus, we obtain four equivalent ratios of 12151215 to be 24342434, 36453645, 60756075, 9612096120.
Note: In this question, we have taken four arbitrary values to multiply in the numerator and denominator to obtain the equivalent ratios. However, we could have used any other integers or fractions instead of 2, 3, 5 and 8 to obtain new equivalent fractions and all of them would have been valid answers to this question.
Step-by-step explanation:
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