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:
- Find the value of p and q where p and q are rational numbers.
- Taking √2 = 1.414, √3 = 1.732, upto three places of decimal:
- If a = 2 + √3, find 1/a, (a – 1/a):
- Solve: If x = 1 – √2, find 1/x, (x – 1/x)4:
- Solve: If x = 5 – 2√6, find 1/x, (x2 – 1/x2):
- If p = (2-√5)/(2+√5) and q = (2+√5)/(2-√5):
- Find the value of x2 + 5xy + y2.
- Choose the correct statement:
- Between two rational numbers: