56 Questions
What is the formula to simplify a fraction?
$\frac{a}{b} = \frac{a \div GCD(a, b)}{b \div GCD(a, b)}$
What is the formula to convert a fraction to a percentage?
$Percentage = \left( \frac{a}{b} \right) \times 100$
What does the term 'hundredths' refer to in fractions?
Fractions where the whole is divided into 100 parts
How do you write a mixed number in fraction notation?
Write the whole number and fractional part together, such as 2 3/5
What is the result of multiplying two fractions?
The result is a fraction with the numerator being the product of the numerators and the denominator being the product of the denominators
What is the formula to multiply two fractions?
$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$
What is the key concept behind equivalent fractions?
Fractions that represent the same value by multiplying or dividing the numerator and denominator by the same number
What is the formula to add fractions with different denominators?
$\frac{a}{b} + \frac{c}{d} = \frac{a \times d + b \times c}{b \times d}$
What is the formula to multiply fractions?
$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$
What is the formula to divide fractions?
$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$
What is the process of finding a fraction of a fraction?
Multiplying the fractions together
Why do we need a common denominator to add or subtract fractions?
Because the fractions need to have the same denominator to perform arithmetic operations
What is the formula to find an equivalent fraction?
$\frac{a}{b} = \frac{a \times k}{b \times k}$
What is the purpose of finding an equivalent fraction?
To represent the same value with different numerators and denominators
What is the result of multiplying two fractions with the same denominator?
A fraction with a numerator equal to the product of the numerators and a denominator equal to the product of the denominators
What is the purpose of simplifying a fraction?
To make the fraction easier to work with by reducing the numerator and denominator to their smallest values
What is the relationship between the numerator and denominator of a fraction in its simplest form?
The numerator and denominator have no common factors
How do you convert a fraction to a decimal?
By dividing the numerator by the denominator
What is the purpose of converting a fraction to a percentage?
To make the fraction easier to understand
What is a mixed number?
A combination of a whole number and a fraction
If you have two fractions, 1/2 and 3/4, what do you need to find to add them?
The least common multiple of the denominators
What happens to the value of a fraction when you multiply both the numerator and denominator by the same non-zero number?
The value remains the same
What is the result of multiplying 1/2 and 2/3?
1/6
To find 1/3 of 2/5, what do you need to do?
Multiply 1/3 and 2/5
What is the result of dividing 2/3 by 3/4?
8/3
What is the result of subtracting 1/4 from 3/5?
7/20
What is the result of adding 1/6 and 2/8?
5/12
What do you need to do to find an equivalent fraction for 3/4?
Multiply the numerator and denominator by 2
What is the primary purpose of simplifying a fraction?
To reduce the fraction to its simplest form, where the numerator and denominator are as small as possible
What is the result of converting the fraction 3/4 to a percentage?
75%
Which of the following fractions is in its simplest form?
3/4
What is the value of the fraction 2/5 in thousandths?
400
What is the result of multiplying the fractions 2/3 and 3/4?
1/2
What is the result of converting the mixed number 2 3/4 to a fraction?
11/4
What is the process of finding a new fraction where the numerator and denominator are multiplied by the same non-zero number?
Generation of an equivalent fraction
If you want to add 1/4 and 2/5, what is the first step?
Find the common denominator
What is the result of dividing 3/4 by 2/3?
9/8
What is the result of finding 1/2 of 3/4?
3/8
What is the result of adding 2/3 and 3/4?
17/12
What is the result of subtracting 1/5 from 2/3?
7/15
What is the result of multiplying 2/3 and 3/4?
6/12
What is the result of finding 2/3 of 3/5?
6/15
If you want to find $rac{2}{3}$ of $rac{3}{5}$, what operation do you need to perform?
Multiplication
What happens to the value of a fraction when you multiply both the numerator and denominator by the same non-zero number?
It remains the same
What is the least common multiple of 6 and 8?
24
What is the result of $rac{2}{3} \div rac{3}{4}$?
$rac{2}{3} imes rac{4}{3}$
What is the result of $rac{1}{2} + rac{3}{4}$?
$rac{5}{4}$
What is the result of $rac{3}{5} - rac{2}{5}$?
$rac{1}{5}$
What is the result of $rac{2}{3} imes rac{3}{4}$?
$rac{6}{9}$
What is the result of $rac{5}{6} - rac{2}{8}$?
$rac{13}{24}$
What is the result of multiplying $\frac{2}{3}$ and $\frac{3}{5}$ in its simplest form?
$\frac{6}{15}$
What is the equivalent fraction of $\frac{2}{3}$ when the numerator and denominator are multiplied by 4?
$\frac{8}{12}$
What is the result of converting $\frac{3}{4}$ to a decimal and then multiplying by 100 to find the percentage?
75%
What is the result of simplifying $\frac{12}{16}$?
$\frac{3}{4}$
What is the result of converting the mixed number $2\frac{3}{4}$ to a fraction?
$\frac{11}{4}$
What is the result of dividing $\frac{2}{3}$ by $\frac{3}{4}$?
$\frac{8}{9}$
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