What is 1 8 of a tank of gas

Asked by maham237 @ 02/01/2021 in Mathematics viewed by 307 People

The Diagram Shows a Fuel gauge in a Car.
(a) What fraction does the Gauge show?
(b) The fuel tank holds 48 litres when it is full. How many Litres must be added to fill the tank?

Answered by maham237 @ 02/01/2021

Answer:

Part a) $\frac{3}{8}$

Part b) $30\ liters$

Step-by-step explanation:

Part a) What fraction does the Gauge show?

we know that

Each division in the Fuel gauge represent the fraction $\frac{1}{16}$

To find what fraction the gauge shows multiply $6$ by $\frac{1}{16}$

$6*\frac{1}{16}=\frac{6}{16}=\frac{3}{8}$

Part b) The fuel tank holds 48 litres when it is full. How many Litres must be added to fill the tank?

we know that

The tank has $\frac{3}{8}$ of its total capacity

To fill the tank must be added $1-\frac{3}{8}=\frac{5}{8}$

therefore

Multiply $\frac{5}{8}$ by $48\ liters$

$48*\frac{5}{8}=30\ liters$

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