Question

Tank a has a capacity of 9.5 galloons 6 1/3 gallons of the tanks water are poured out how many gallons of water are left in the tank

Answer 1

$3\frac{1}{6}$ gallons are left in the tank.

• Total capacity of the tank = 9.5 gallons
• Total amount of water poured out in gallons = $6\frac{1}{3}$

Further Explanation

To determine the total amount left in the tank = Total capacity of the tank – Total amount of water poured out in gallons

= 9.5 (also expressed as 95/10) – $6\frac{1}{3}$ (otherwise expressed as $\frac{19}{3}$ )

Before solving further, we look for the lowest common denominator (LCD) of both denominators (10 and 3) since we are dealing with fractions.

Hence,

LCD of 10 and 3 = 30

Therefore,

= $\frac{95}{10}$ – $\frac{19}{3}$  

= (95 x 3) – (19 x 10) / 30

= (285) – (190) / 30

= 285 – 190 / 30

= $\frac{95}{30}$

= $\frac{19}{6}$

= $3\frac{1}{6}$ gallons  

Thus, the total amount of gallons of water left in the tank is $3\frac{1}{6}$ gallons.

The above expression is a typical number problem which has an element of fraction in it. Fraction consists of numerator and denominators which are usually jointly factored out to derive a solution to a given math problem.

It is essential to apply BODMAS while solving a fraction problem like the one given. And notably, the arms of BODMAS that were applied are Division, Multiplication and Addition.

LEARN MORE:

• What does BODMAS stand for brainly.com/question/9352422
• Numbers: brainly.com/question/2906770
• fraction brainly.com/question/6201432

KEYWORDS:

• 9.5 galloons
• 6 1/3 gallons
• gallons of water
• tank
• bodmas
• numbers
• fraction

Answer 2

$= 9 \frac{1}{2} - 6 \frac{1}{3} \\ = 9 \frac{3}{6} - 6 \frac{2}{6}$
$= 3 \frac{3 - 2}{6} \\ = 3 \frac{1}{6}$

3 1/6 gallons of water are left in the tank.