Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

A construction company builds a new rail line from Town A to Town B. They complete 1 1/4 miles in their first week of work and 1 2/3 miles in the second week. If they still have 25 3/4 left to build,what is the distance from Town A to Town B ?

Sagot :

Add 1/4 and 2/3 and then 3 and your answer wll be 28 3/4
Evadin2019

The distance from Town A to Town B is 28²/₃ miles

Further Explanation

Given:

1¹/₄ miles complete in the first week

1²/₃ miles complete in the second week

25³/₄ miles left to build

Question

What is the distance from Town A to Town B?

to calculate the distance between those two town:

[tex]\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }[/tex]

There are two ways to solve this fraction additional

1. Change the mixed fraction to proper fraction

[tex]\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }[/tex]

[tex]\boxed {= \frac{5}{4} +\frac{5}{3} + \frac{103}{4} }  \\\boxed {=\frac{15+20+309}{12} }\\\boxed {= \frac{344}{12} }\\ \boxed {= 28\frac{2}{3} }[/tex]

so the distance between Town A to Town B is 28²/₃ miles

The fraction above is in mixed fraction, first we can change them into proper fraction then add them. When the denominator is different we need  to find a common denominator to be able to add them.

The common denominator for 4 and 3 is 12.

2. Other way is mixed fraction additional

[tex]\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }[/tex]

[tex]\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }\\\boxed {= 1+1+25 (\frac{1}{4} + \frac{2}{3} +\frac{3}{4})\  } \\\boxed {=27 (\frac{3+8+9}{12}) }[/tex]

[tex]\boxed {= 27 (\frac{20}{12} )}\\\boxed {= 27 (1\frac{8}{12}) } \\\boxed {= 28 \frac{2}{3} }[/tex]

Learn More

Additional that have sum of 10 https://brainly.com/question/5146571

Mixed fraction https://brainly.com/question/745462

Keywords: fraction, mixed fraction, additional fraction, distance between two town, proper fraction

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.