Ruth needs 5 1/4 quarts of oil to change the oil in her car. She has 2 1/2 quarts in one bottle and 1 1/4 in another. How many more quarts of oil does Ruth need to change the oil in her car

Respuesta :

Answer:

The answer to your question is Ruth needs 3/2 or 1 1/2 more quarts.

Step-by-step explanation:

Data

Oil needed = 5 1/4

Oil in bottle 1 = 2 1/2

Oil in bottle 2 = 1 1/4

Process

1.- Subtract the oil in bottle 1 and bottle 2 to the amount of oil needed.

                5 1/4 - 2 1/2 - 1 1/4

-Convert the mixed fractions to improper fractions

5 1/4 = (20 + 1) / 4 = 21/4

2 1/2 = (4 + 1)/2 = 5/2

1 1/4 = (4 + 1)/4 = 5/4

-Substitute

                  21/4 - 5/2 - 5/4

-Look for the Greatest common factor

                      4  2   4  2

                      2   1   2   2

                       1         1

GCF = 2 x 2 = 4

                  21/4 - 5/2 - 5/4 = (21 - 10 - 5)/4

                                            = (21 - 15)/4

                                            = 6/4

                                            = 3/2  or   1 1/2

-Conclusion

Ruth needs 3/2 or 1 1/2 more quarts.

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