1.21875 is equal to

1.21875 is equal to

• A. 39/32
• B. 37/30
• C. 31/26
• D. 49/40

Answer: (A)

Converting a terminating decimal to a fraction. Take the integer part and the decimal part separately. The decimal portion 0.21875 can be written as a fraction by clearing the decimals. Multiply 0.21875 by 32 to get 7, so the fractional part is 7/32. The integer part is 1, which is 32/32. Add them: 32/32 + 7/32 = 39/32. So 1.21875 equals 39/32 (also 1 and 7/32). The other fractions don’t match exactly (they produce different decimal values), so they aren’t correct.

Converting a terminating decimal to a fraction. Take the integer part and the decimal part separately. The decimal portion 0.21875 can be written as a fraction by clearing the decimals. Multiply 0.21875 by 32 to get 7, so the fractional part is 7/32. The integer part is 1, which is 32/32. Add them: 32/32 + 7/32 = 39/32. So 1.21875 equals 39/32 (also 1 and 7/32). The other fractions don’t match exactly (they produce different decimal values), so they aren’t correct.