Q. 47−1.76=Enter the answer as an exact decimal or simplified fraction.
Convert Decimal to Fraction: Convert the decimal 1.76 to a fraction.To subtract the decimal from the fraction, it's easier to work with both numbers in the same format. Convert 1.76 to a fraction by recognizing that it is 1 and 76 hundredths.1.76=1+0.76=1+10076Now simplify the fraction 10076.10076 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4.76÷4=19100÷4=25So, 1.76 as a fraction is 1.761.
Express 1 as Fraction: Express 1 as a fraction with the same denominator as 2519. To combine 1 with 2519, we need to express 1 as a fraction with the same denominator, which is 25. 1=2525 Now we can add this to 2519. 1+2519=25(25+19)=2544 So, 1.76 as a fraction is 25190.
Subtract Fractions: Subtract the fraction equivalent of 1.76 from 47. Now we have two fractions: 47 and 2544. To subtract them, we need a common denominator. The least common multiple of 4 and 25 is 100. Convert 47 to a fraction with a denominator of 100. (47)×(2525)=100175 Convert 2544 to a fraction with a denominator of 100. 472 Now subtract the two fractions. 473
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