10/2723DO NOW RevOrder of Operations with Fractions and Decimals

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in an expression. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide 2/3 by 3/4, you multiply 2/3 by 4/3, resulting in 8/9.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. For example, 4/8 can be simplified to 1/2.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, first find a common denominator, convert the fractions, and then subtract the numerators. For example, to subtract 9/5 - 4/3, convert to a common denominator of 15 to get 27/15 - 20/15 = 7/15.

Front

What is the result of (25 - 11) x (4.1 + 2)?

Back

The result is 85.4. First, calculate 25 - 11 = 14, then 4.1 + 2 = 6.1, and finally multiply: 14 x 6.1 = 85.4.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by performing the operations indicated. For example, evaluating 3/8 ÷ 3/4 - 1/6 involves performing the division and subtraction to find the result.

Front

What is a reciprocal in mathematics?

Back

A reciprocal of a number is 1 divided by that number. For example, the reciprocal of 3/4 is 4/3.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the difference between a decimal and a fraction?

Back

A decimal is a way of expressing a number that is not whole, using a point to separate the whole part from the fractional part. A fraction represents a part of a whole using a numerator and a denominator.

Front

How do you simplify the expression 3/8 ÷ 3/4 - 1/6?

Back

First, divide 3/8 by 3/4 to get 1/2. Then, subtract 1/6 from 1/2. Convert 1/2 to 3/6, so 3/6 - 1/6 = 2/6, which simplifies to 1/3.