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Solution for theProblem 10- Fractions

Answer:

9998/9999is bigger than 5550/5551.

Solution:

Consider the first fraction:

5550/5551.

We can rewrite this as:

(5551 – 1)/5551 = 1 – 1/5551.

Similarly, for the second fraction we can write:

(9999 – 1)/9999 = 1 – 1/9999.

Since1/9999 < 1/5551,

then

1 – 1/5551 < 1 – 1/9999.

Hence,

9998/9999 > 5550/5551.

Name |
Vivian Feig |

State/Country |
New York |

Age |
9 |

School |
Roaring Brook |

Solution |
For 5550/5551, it takes 1/5551 more to get to one whole. For 9998/9999, it takes 1/9999 more to reach a whole. Since 1/9999 is smaller than 1/5551, it means that it will take less to get from 9998/9999 to a whole than 5550/5551. That also means that 9998/9999 is bigger. |

Grade |
4 |

I play piano and my two favorite subjects are math and writing |

Name |
Eijori |

State/Country |
Japan |

Age |
13 |

School |
Yoshii Junior HIgh |

Solution |
9998/9999 is bigger, because the amount subtracted from the whole is less. |

Grade |
7 |

I like milk. |