## Download Multiplying Fractions with Whole Numbers with Word Problems (with denominators from 2 to 6) Worksheets

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## Definition:

Multiplying fractions with whole numbers is a process of adding all the given fractions as many times as what the whole number requires.

## Summary:

**Multiplication**is one among the four basic operations, the three being addition, subtraction and division.- The equation is composed of
*multiplicand*,*multiplier*and*product.* - It implies repeated addition of the multiplicand (to itself) as many times as what the multiplier implies.

**MULTIPLICATION OF FRACTIONS WITH WHOLE NUMBERS**The process of multiplying a fraction and a whole number may be explained similarly with multiplying two fractions. See the example below.

**Given:** ½ x 5 = ?

**Step 1:**** Express the whole number as a fraction. ***Whole numbers have “imaginary” denominator equal to 1.*

**Step 2:**

**Multiply the parts of the fraction.**

*Multiply the numerators and denominators individually.*

**Step 3:**

**SImplify if possible.**

*Improper fractions shall always be transformed to mixed numbers for final answer.*

One way to check the answer is by adding the fraction as many times as the value of the whole number.

**VISUAL MODELS**One way to determine the product of a fraction and a whole number is through

**visual representation**.

**TRANSLATING WORD PROBLEMS**When a word problem is given, one can tell that it implies multiplication with the help of clue words. Some of these clue words are listed below.

altogether

double, triple

each factor

groups of

in all

multiply

product

times

total

twice

thrice

**EXAMPLE/S:**

- “one-half times five”
- “one-half multiplied by five”
- “product of one-half and five”
- “five groups of one-half”

All these translates to: “**½**** x 5” **or vice versa, if commutative property of multiplication is applied

## Multiplying Fractions with Whole Numbers with Word Problems (with denominators from 2 to 6) Worksheets

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