Question

1 3/8 times 3 4/7to multiply this

Answer 1

4 51/56

Step-by-step explanation

To multiply two mixed numbers, first, we have to convert them into improper fractions by adding the whole part to the fraction part,

`\begin{gathered} 1(3)/(8)=1+(3)/(8)=(8\cdot1+3)/(8)=(8+3)/(8)=(11)/(8) \\ \\ 3(4)/(7)=3+(4)/(7)=(3\cdot7+4)/(7)=(21+4)/(7)=(25)/(7) \end{gathered}`

Now, we can multiply. Remember that when we multiply fractions, the product is another fraction whose numerator is the product of the numerators and the denominator is the product of the denominators,

`1(3)/(8)*3(4)/(7)=(11)/(8)*(25)/(7)=(11*25)/(8*7)=(275)/(56)`

Now, to rewrite the result as a mixed number, we have to find what is the greatest multiple of 56 closest to 275. This number is 224, so we have to write 275 as the sum of 224 and another number, which is 51,

`(275)/(56)=(224+51)/(56)=(224)/(56)+(51)/(56)=4+(51)/(56)=4(51)/(56)`

Hence, the result is 4 51/56.