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aleksandr82 [10.1K]
3 years ago
9

Prove algebraically that the recurring decimal 0.72 =8/11

Mathematics
2 answers:
miskamm [114]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring decimal placed after the decimal point.

let x = 0.7272.... (1) ← multiply both sides by 100

100x = 72.7272... (2)

Subtract (1) from (2) thus eliminating the recurring decimal

99x = 72 ( divide both sides by 99 )

x = \frac{72}{99} = \frac{8}{11}

lbvjy [14]3 years ago
4 0

Answer:

true

Step-by-step explanation:

because 8÷11=0.72

72÷10

=8÷11

=0.72

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