Solve: 5.25 × 2/3 × 7/21 - Decimal and Fraction Multiplication

5.25⋅23⋅721=? 5.25\cdot\frac{2}{3}\cdot\frac{7}{21}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve this problem together.
00:11 First, convert the number from its numeric form to a mixed number.
00:20 Next, change the mixed number into a fraction.
00:24 Multiply the whole number by the denominator. Then, add the numerator. This is your fraction.
00:30 This fraction shows the whole number.
00:44 Let's simplify the problem to make it easier.
00:48 Reduce any numbers you can.
00:56 Remember, multiply the numerators together and the denominators together.
01:05 Break fourteen into twelve plus two.
01:09 Split the fraction into a whole number and the remainder.
01:15 And that's how we find the solution!

Step-by-step written solution

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1

Understand the problem

5.25⋅23⋅721=? 5.25\cdot\frac{2}{3}\cdot\frac{7}{21}=\text{?}

2

Step-by-step solution

We first rewrite the decimal fraction in the form of a mixed fraction:

5.25=514 5.25=5\frac{1}{4}

We obtain the following exercise:

514⋅23⋅721= 5\frac{1}{4}\cdot\frac{2}{3}\cdot\frac{7}{21}=

We write the mixed fraction as a simple fraction:

514=4×5+14=20+14=214 5\frac{1}{4}=\frac{4\times5+1}{4}=\frac{20+1}{4}=\frac{21}{4}

We obtain the following:

214⋅23⋅721= \frac{21}{4}\cdot\frac{2}{3}\cdot\frac{7}{21}=

We simplify the 21 and obtain:

74⋅23=1412=12+212=1212=116 \frac{7}{4}\cdot\frac{2}{3}=\frac{14}{12}=\frac{12+2}{12}=1\frac{2}{12}=1\frac{1}{6}

3

Final Answer

116 1\frac{1}{6}

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\( -5+4+1-3 \)

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