What is 2/3 of 7/8 as a fraction

The below solved example with step by step work shows how to find what is 2/3 times 7/8 or 7/8 times 2/3 as a fraction.

Solved Example:
What is 7/8 times 2/3 in fraction form?
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 7/8
B = 2/3

What to be found:
7/8 x 2/3 = ?

step 2 Arrange the fractions in the product expression form as like the below:
= 7/8 x 2/3
= (7 x 2)/(8 x 3)

step 3 Check the numerator and denominator and cancel if anything cancelled each other:
= (7 x 2)/(8 x 3)

= 7/12
7/8 x 2/3= 7/12

Hence,
7/8 times 2/3 as a fraction equals to 7/12

Input fractions

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

The result:

7/8 * 2/3 = 7/12 ≅ 0.5833333

Spelled result in words is seven twelfths.

How do we solve fractions step by step?

1. Multiple: 7/8 * 2/3 = 7 · 2/8 · 3 = 14/24 = 7 · 2/12 · 2 = 7/12
   Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(14, 24) = 2. In the following intermediate step, cancel by a common factor of 2 gives 7/12.
   In other words - seven eighths multiplied by two thirds is seven twelfths.

Rules for expressions with fractions:

Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Math Symbols

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

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