Question

Convert 1.333… into rational fraction. ?​

Answer 1

Answer:

your answer is here !

Step-by-step explanation:

Step I: Let x = 1.333

Step II: Repeating digit is ‘3’

Step III: Placing repeating digit on the left side of the decimal point can be done by multiplying the original number by 10, i.e.,

10x = 13.333

Step IV: By placing repeating digit to the right of the decimal point it becomes the original number. Technically this can be done by multiplying original number by 1, i.e.,

x = 1.333

Step V: So, our two equations are:

10x = 13.333

⟹ x = 1.333

On subtracting both sides of the equation, we get:

10x – x = 13.333 – 1.333

⟹ 9x = 12

⟹ x = 12/9

⟹ x = 4/3

Hence, the required rational fraction is 4/3.

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Answer 2

Let x = 1.3

multiplying the number by 10

10x = 13.333

By placing repeating digit to the right of the decimal point

x = 1.333

two equations are:

10x = 13.333

⟹ x = 1.333

On subtracting both sides of the equation, we get:

10x – x = 13.333 – 1.333

⟹ 9x = 12

⟹ x = 12/9

⟹ x = 4/3

Hope helps

Mark brainly