Question

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 ?

Answer 1

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:

$\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }$

There are two ways to solve this fraction additional

1. Change the mixed fraction to proper fraction

$\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }$

$\boxed {= \frac{5}{4} +\frac{5}{3} + \frac{103}{4} } \\\boxed {=\frac{15+20+309}{12} }\\\boxed {= \frac{344}{12} }\\ \boxed {= 28\frac{2}{3} }$

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

$\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }$

$\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }\\\boxed {= 1+1+25 (\frac{1}{4} + \frac{2}{3} +\frac{3}{4})\ } \\\boxed {=27 (\frac{3+8+9}{12}) }$

$\boxed {= 27 (\frac{20}{12} )}\\\boxed {= 27 (1\frac{8}{12}) } \\\boxed {= 28 \frac{2}{3} }$

Learn More

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

Mixed fraction brainly.com/question/745462

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

Answer 2

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