maths

• What is the first step in solving the problem "three-fifths of a number is 48"?

  The first step is to recognize that three-fifths of a number equals 48, not to divide by 5 immediately.
• Why do we divide by 3 instead of 5 in the problem about three-fifths of a number being 48?

  We divide by 3 to find the value of one part since three parts equal 48.
• What is the result of dividing 48 by 3 in the context of the problem?

  The result is 16, which represents the value of each part.
• How do you find the original number after determining the value of each part?

  You multiply the value of each part (16) by the total number of parts (5).
• What is the final answer for the original number in the problem?

  The final answer is 80.
• What is the first step in adding mixed numbers like three and four-fifths and three-sevenths?

  The first step is to convert the mixed numbers into improper fractions.
• How do you convert three and four-fifths into an improper fraction?

  You multiply the whole number (3) by the denominator (5) and add the numerator (4) to get 19/5.
• What is the lowest common multiple of 5 and 7?

  The lowest common multiple is 35.
• What is necessary to add two fractions together?

  You need a common denominator to add the fractions.
• How do you convert 19/5 and 3/7 to have a common denominator of 35?

  You multiply 19/5 by 7/7 and 3/7 by 5/5.
• What is the result of adding the numerators after converting to a common denominator?

  The result is 148, which is over 35.
• How do you convert 148/35 into a mixed number?

  You divide 148 by 35 to find how many times it fits, which is 4, with a remainder of 8.
• What is the final mixed number in its simplest form for the addition problem?

  The final answer is 4 and 8/35.
• What is the first step in dividing mixed numbers like one and one-fifth by three-quarters?

  The first step is to convert the mixed numbers into improper fractions.
• How do you convert one and one-fifth into an improper fraction?

  You multiply the whole number (1) by the denominator (5) and add the numerator (1) to get 6/5.
• What do you do when dividing fractions?

  You keep the first fraction, flip the second fraction to its reciprocal, and multiply.
• What is the result of multiplying 6/5 by the reciprocal of 3/4?

  The result is 24/15.
• How do you convert 24/15 into a mixed number?

  You divide 24 by 15 to find it fits once with a remainder of 9, resulting in 1 and 9/15.
• What is the simplified form of 9/15?

  The simplified form is 3/5.
• What is the final answer for the division problem of one and one-fifth divided by three-quarters?

  The final answer is 1 and 3/5.
• How do you express 0.47 with a recurring dot over the 7 as a fraction?

  You start by letting x equal 0.47 recurring and then multiply by 10 to eliminate the recurring decimal.
• What happens when you subtract the two equations formed by multiplying x by 10?

  The recurring decimals cancel out, allowing you to solve for x.
• What is the result of subtracting the two equations after multiplying by 10?

  The result is 9x = 4.3.
• How do you convert 4.3 into a fraction?

  You express it as 43/10 before solving for x.
• What is the final step to find the value of x in the equation 9x = 4.3?

  You divide both sides by 9 to solve for x.
• What is the final fraction representation of 0.47 recurring?

  The final fraction is 43/90.
• What is the result of $4.77 - 0.47$?


  $4.3$
• How do you subtract $7 - 7$?


  The result is zero.
• What is the result of $7 - 4$?


  The result is three.
• What is $4 - 0$ equal to?


  It is equal to four.
• What do you get when you subtract $10x - 1x$?


  You get $9x$.
• What is the decimal result when subtracting $4.77 - 0.47$?


  The result is $4.3$.
• What should you do before converting a decimal to a fraction?

  Multiply both sides by 10.
• What is the equation after multiplying $4.3$ by 10?


  $90x =$$43$
• How do you express $x$ in terms of $43$ and $90$?


  $x =$$\frac{43}{90}$
• What should you check when simplifying a fraction?

  You should check if both numbers are even or if they divide by common factors.
• What is the prime factorization of $525$?


  $3 \times 5^2 \times 7$
• What does a negative exponent indicate?

  It indicates the reciprocal of the base.
• What does the denominator in a power indicate?

  It indicates the root of the number.
• What is the square root of $25$?


  $5$