#### Express the following recurring decimals as vulgar fractions:

Now multiply both sides of equation (1) by 10

10x = 13.4545 ….. (2)

Again multiply both sides of equation (2) by 100

1000x = 1345.4545 …… (3)

By subtracting equation (2) from (3)

990x = 1332

By further calculation

x = 1332/990 = 74/55

Now multiply both sides of equation (1) by 1000

1000x = 2357.357357 ….. (2)

By subtracting equation (1) from (2)

999x = 2355

By further calculation

x = 2355/999

**More Solutions:**

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