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7/63 = 0.1 recurring (that is, 0.1111...). Expressed as a proper fraction in its simplest form, 7/63 is equal to 1/9 or one ninth.
2/7 of 63 means 2/7 x 63. Multiply 2 x 63, then divide the result by 7. You may also divide 63 / 7 first, then multiply by 2 - in this case it is simpler, because it is divisible, and results in smaller numbers for the intermediate calculations.
63/9 = 7
Try it. Divide 63 by 7, for example with a calculator - if you get only zeroes after the decimal point, then it is.
76.1111
The LCM of 9 and 7 is 63 (9 * 7 = 63). There are plenty of other numbers that 9 and 7 divide evenly into though.