Question

A tree limb hangs 5 1/4 feet from a telephone wire the city trans back the branch before it grows with in 2 1/2 feet of the wire will the city of la the tree to grow 2 3/4 more feet? the city trans back the branch before it grows with in 2 1/2 feet of the wire will the city of la the tree to grow 2 3/4 ?

Answer 1

If the limb grows 2 3/4 more feet, then its distance from the wire will be:
distance = 5 1/4 - 2 3/4
Distance = 21/4 - 11/4
Distance = 10/4 = 2 1/2

Therefore, the city will let it grow 2 3/4 more feet but it will be cut if it grows any further.

Answer 2

The city will allow the tree to grow $\displaystyle 2\frac{3}{4}$ more feet

Further explanation

Fraction numbers are known as numerators and denominators

On a number line, fractions are expressed in points that lie between two integers

The general form of fractions is

$\large {\boxed {\bold {\frac {a} {b}}}$

a = numerator

b = denominator

Mixed fractions consist of whole numbers and proper fractions

There are a number of steps in adding fraction operations

• 1. the denominators must be the same, if not then

a. Multiply top and bottom of each fraction by the denominator of the other. or

b. we can use Least Common Denominator which is  the smallest of all the common denominators.

• 2: Add the numerators

• 3: Simplify the fraction

And to add / subtract mixed fractions:

1. Change to improper fractions first

2. addition (make same denominators)

3. Change the result again to mixed fractions

The question:

A tree limb hangs 5 ​​1/4 feet from a telephone wire. The city trims back the branch before it grows within 2 1/2 feet of the wire. Will the city allow the tree to grow 2 3/4 more feet?

The tree branches that were cut by the city were $\displaystyle 2\frac{1}{2}$, so the remaining tree branches:

$\displaystyle 5\frac{1}{4}-2\frac{1}{2}=2\frac{3}{4}$

we change to proper fractions :

$\displaystyle 5\frac{1}{4}=\frac{21}{4}$

$\displaystyle 2\frac{1}{2}=\frac{5}{2}$

make same denominators (=4)

$\displaystyle \frac{5}{2}=\frac{10}{4}$

$\displaystyle \frac{21}{4}-\frac{10}{4}=\frac{11}{4}$

Change the result again to mixed fractions

$\displaystyle \frac{11}{4}=2\frac{3}{4}$

So the city only allows tree branches along $\displaystyle 2\frac{3}{4}$, above that will be cut

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Keywords : A tree limb, wire, city, branch